RD Sharma Solutions for Class 12 Maths Chapter 25 - Vector or Cross Product - Free PDF Download
RD Sharma Class 12 Chapter 25 Vector or Cross Product Solutions is given here. In this chapter, students will learn how to calculate the vector product of two vectors, the vector product when two vectors are given in the cartesian form and the use of vector product in geometrical applications. RD Sharma Class 12 Solutions Vector or Cross Product PDF is provided in a detailed way here so that students can access all the solutions in the same pattern and sequence as in the RD Sharma textbooks.
Class 12 RD Sharma Textbook Solutions Chapter 25 - Vector or Cross Product
Consider a and b as two non-zero parallel vectors. The cross product of two vectors a and b is defined only in three-dimensional space and it is denoted by a×ba×b. The Vector is also known as Cross Product.
Vector Product is defined by the following formula:
$a \times b = \left | a \right | \left |b \right |\sin(\theta )n a \times b = \left | a \right | \left |b \right |\sin(\theta )n$
Where |a||a| is the modulus of aa. It is also known as the magnitude of aa
$ \left |b \right | \left |b \right |$ is the modulus of bb
θθ is the angle between two vectors aa and bb, and nn is a unit vector
Following Are The Properties of Vector Product
Vector product does not follow the commutative rule. It is given by
$a \times b = -(b \times a)a\times b = -(b \times a)$
Vector multiplication rule
$(ka) \times b = k(a \times b) = a \times(kb)(ka)\times b = k(a\times b) = a \times (kb)$
If the given vectors are collinear then a×b=0a×b=0
(Since the angle between both the vectors would be 00, then the value of $\sin(0)=0\sin(0)=0$)
a×ba×b in terms of unit vectors can be represented as
$a \times (b + c) = (a \times b) + (a \times c) a \times (b +c) = (a \times b)+(a \times c)$
Solutions For The Class12 Rd Sharma Maths Chapter 25 Vector Or Cross Product Is Available For A Free Download In A PDF File Format
Chapter 25th of the Class 12 RD Sharma Math book is Vector or Cross Product. And to ace in this Chapter students require a good amount of practice in solving the questions from this Chapter. Because the more practice of the Chapter 25 Vector or Cross Product a student does the better, they become. Solving the questions develops the various skills in the students helpful for the final Class 12 exam, such as it decreases the time taken for solving a single question, also it helps in increasing the accuracy of solving the question. And these two skills are the most important ones for the exam.
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FAQs on RD Sharma Class 12 Maths Solutions Chapter 25 - Vector or Cross Product
1. What is the vector product of two vectors?
The vector product of two vectors is a vector perpendicular to both of them. Its magnitude is calculated by multiplying its magnitudes by the sine of the angle between them.
2. Does cross-product obey commutative law?
The cross product of two vectors does not obey commutative law.
3. What are the applications of vector products?
Following are the applications of vector product
It is used to find a vector that is perpendicular to two given vectors
It is used to find the area of a parallelogram.
It is used to find the volume of a parallelepiped
4. What should I do if I find some questions of RD Sharma Class 12, Chapter 25 Vector or Cross Product, difficult to solve?
In the RD Sharma Class 12, Chapter 25 Vector or Cross Product there are many questions given, which covers all the topics of the Chapter. Hence, it is understandable that students may find a few questions rather difficult to solve from the exercise of RD Sharma Class 12, Chapter 25 Vector or Cross Product. In such cases, students can use solutions for understanding the concepts and then solve the questions once again by themselves. Also, you can find the solutions for the said Chapter here at Vedantu.
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