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Last updated date: 21st Jul 2024
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## Vector Algebra Practice Paper with Solutions and Answer Key For JEE Main

The Vector Algebra Practice Paper is a crucial chapter of JEE Main studies because it is because it covers topics like vector operations, dot and cross products, and their geometric interpretations this helps in achieving excellence in JEE Main Maths.

 Category: JEE Main Practice Paper Content-Type: Text, Images, Videos and PDF Exam: JEE Main Chapter Name: Vector Algebra Academic Session: 2025 Medium: English Medium Subject: Mathematics Available Material: Chapter-wise Practice paper with PDF

Vedantu is helping students in their JEE Main Maths preparation through a complimentary PDF download of the Vector Algebra Practice Paper. This valuable resource facilitates chapter-wise practice, ensuring comprehensive coverage of every important topic. By accessing it for FREE, you can elevate your knowledge and boost your confidence in solving questions effectively. Detailed solutions and answer keys are included to address doubts and provide step-wise guidance for practicing questions. You can also enhance your question-solving speed by engaging with Vedantu’s Vector Algebra Practice Paper for JEE Main.

A minimum of 2 or 3 questions associated with the Vector Algebra chapter await you in the JEE Main Exam. Delve into the table to gain insights into the weightage of the Vector Algebra chapter over the last five years in the JEE Main Exam.

 Year Weightage of JEE Main Questions From Vector Algebra 2023 6% 2022 6% 2021 7% 2020 7% 2019 7%

Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Vector Algebra Practice Paper today to excel in your JEE Main exams!

## Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Maths,Physics, and Chemistry—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Physics, as well as Chemistry Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper.

 Subject-wise Links For JEE Main Practice Paper JEE Main Physics Practice Paper JEE Main Chemistry Practice Paper

### Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers need to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.

### Important Topics From Vector Algebra for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Vector Algebra. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Vector Algebra. Here are some of the important topics of Vector Algebra.

• #### Vector Representation:

Learn how to represent a vector using a line segment with an arrow, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

• #### Vector Addition and Subtraction:

Understand how to add and subtract vectors, both graphically and algebraically. This involves combining vectors to find their resultant vector.

• #### Scalar Multiplication:

Learn how to multiply a vector by a scalar (a real number). This operation changes the magnitude of the vector without affecting its direction.

• #### Unit Vectors:

Familiarize yourself with unit vectors, which have a magnitude of 1 and are often denoted as "i," "j," and "k" for the x, y, and z directions, respectively.

• #### Vector Components:

Practice finding the components of a vector along the coordinate axes (x, y, and z). This is useful for solving problems in multiple dimensions.

• #### Dot Product (Scalar Product):

Understand how to compute the dot product of two vectors, which results in a scalar. It is used to find the angle between vectors and for various calculations in physics and engineering.

• #### Cross Product (Vector Product):

Learn how to calculate the cross product of two vectors, which results in a new vector. This is important in physics and engineering, particularly in topics like electromagnetic fields and mechanics.

• #### Vector Projection:

Study how to find the projection of one vector onto another. This is useful for understanding how one vector influences another in a given direction.

• #### Vector Equations and Parametric Equations:

Practice working with vector equations and parametric equations. These are essential for describing curves and lines in space.

• #### Vector Geometry:

Explore geometric concepts related to vectors, such as angles between vectors, vector equations of lines and planes, and vector properties of shapes.

• #### Vector Applications:

Solve problems involving vectors in real-world scenarios, such as motion, forces, and engineering problems.

• #### Practice with 2D and 3D Vectors:

Work on problems involving both 2D and 3D vectors, as these are commonly encountered in physics and engineering.

### Equations To Score More in Practice Paper of JEE Main Vector Algebra

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out the Practice Paper of JEE Main Vector Algebra.

$\vec{A} + \vec{B} = \vec{C}$

• #### Scalar Multiplication:

$\lambda \vec{A} = \vec{B}$

• #### Dot Product (Scalar Product):

$\vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos(\theta)$

• #### Cross Product (Vector Product):

$\vec{A} \times \vec{B} = |\vec{A}| |\vec{B}| \sin(\theta) \hat{n}$

• #### Magnitude (Norm) of a Vector:

$|\vec{A}| = \sqrt{A_x^2 + A_y^2 + A_z^2}$

• #### Projection of Vector A onto Vector B:

$\text{Proj}_\vec{B} \vec{A} = \frac{\vec{A} \cdot \vec{B}}{|\vec{B}|^2} \vec{B}$

For more formulas and equations you can refer Vedantu’s JEE Main Formula page.

### What Makes Vedantu’s Practice Paper PDF of JEE Main Vector Algebra Different?

The primary function of Practice Paper for JEE Main is to help students in exam preparation by offering questions mirroring the JEE Main exam pattern. Vedantu’s JEE Main Practice Papers serves as the ideal post-learning resource following each Maths chapter. Now, let’s explore the attributes of Vedantu’s Vector Algebra Practice Paper for JEE Main.

• Quality Content: Vedantu's Practice Paper for Vector Algebra is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

• Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Vector Algebra, allowing students to thoroughly practice and master each topic.

• Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Vector Algebra JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

• User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

• Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.

### How To Prepare For JEE Main With Vector Algebra Practice Paper?

Vedantu’s Vector Algebra JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.

2. You can set a timer of 1 hour.

3. Solve the easy questions first and give time for tough questions.

5. Each question carries 4 marks and give a negative mark of -1 for each questions.

6. Now calculate the score and analyse yourself.

7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers.

8. Learn how to do the incorrect answers and prcatice the questions again.

9. Make a note of the time you taking for each question to practice.

### When to Start Preparing With JEE Main Practice Paper of Vector Algebra?

It's advisable to begin your JEE Main Practice Paper of Vector Algebra preparations early in your academic journey to ensure comprehensive subject mastery and sufficient time for revision, a critical factor for achieving success in the exams. Consider this timeline to make the most of your JEE Main preparation using Daily Practice Paper.

• Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Vector Algebra.

• Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Vector Algebra into your routine.

• Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.

### Additional Materials To cover With  JEE Main Vector Algebra Practice Paper

After learning with the Vector Algebra chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Vector Algebra you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.

### Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Vector Algebra, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.

 JEE Main Maths Online Practice Paper JEE Main Maths Practice Paper - Test 1 JEE Main Maths Practice Paper - Test 2

### Mastering Vector Algebra With JEE Main Practice Paper

The JEE Main Vector Algebra Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Vector Algebra Daily Practice Paper for FREE!

### JEE Mains Sample Paper: Vector Algebra

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Vector Algebra chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.

With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

## FAQs on JEE Main Vector Algebra Practice Paper FREE PDF Download

1. What is Vector Algebra in the context of JEE Main practice paper?

Vector Algebra in JEE Main practice paper deals with the study of vectors and their properties, operations, and applications in physics and mathematics.

2. Why is Vector Algebra important for JEE Main practice paper?

Vector Algebra is a crucial topic in JEE Main practice paper as it is frequently tested and forms the foundation for various physics and math concepts.

3. How can I add two vectors in the JEE Main practice paper?

To add two vectors in the JEE Main practice paper, you can use the triangle law or the parallelogram law, which involves adding their components.

4. What is the scalar product of vectors, and how is it relevant in JEE Main practice paper?

The scalar product of vectors is a mathematical operation that helps in finding the angle between two vectors and is often used in JEE Main practice paper problems involving work, projection, and angles.

5. Explain the cross product of vectors and its significance in the JEE Main practice paper.

The cross product of vectors yields a vector that is perpendicular to both original vectors. It is important in JEE Main practice paper for problems related to torque, angular momentum, and magnetic fields.

6. What are unit vectors, and why are they important in JEE Main practice paper?

Unit vectors have a magnitude of 1 and are essential in JEE Main practice paper for expressing direction. In 3D space, common unit vectors are 𝑖, 𝑗, and 𝑘.

7. How do I find the angle between two vectors in the JEE Main practice paper?

The angle (θ) between two vectors A and B can be found using the formula:

$\cos(\theta) = \dfrac{(A \cdot B)}{|A| \times |B|}$

8. How do I determine if two vectors are orthogonal in the context of the JEE Main practice paper?

Two vectors are orthogonal in the JEE Main practice paper if their dot product is zero

• (𝑉1 ⋅ 𝑉2 = 0).