
What is the distance between two parallel planes?
Answer
429.3k+ views
Hint : First, we shall analyze the given information so that we are able to answer the given question. Here, we are asked to explain the distance between two parallel planes. The distance between the given two parallel planes is nothing but the shortest distance between the two plane surfaces.
Formula used:
The distance between two parallel planes,
Complete step-by-step solution:
The distance between the given two parallel planes is nothing but the shortest distance between the two plane surfaces.
Let and .
Generally, two planes are said to be parallel if they don’t intersect each other and their ratios are equal.
The steps that are followed to determine the distance between two parallel planes are listed below.
a) We need to write the given equations for both the planes in standard form and .
b) The next important step is to check whether the given equations are parallel or not. Generally, two planes are said to be parallel if they don’t intersect each other and their ratios are equal.
That is
c) The next step is to pick the coefficients from the first plane equation. (i.e. )
d) Now, we shall identify the points from the second plane equation. (i.e. )
e) Now, we need to substitute the obtained values in the formula of distance.
Therefore, the required formula to calculate the distance between two parallel planes is as follows.
The distance between two parallel planes,
Note: The distance between the given two parallel planes is nothing but the shortest distance between the two plane surfaces. After following the above steps, we need to substitute the values in the formula. Therefore, the required formula to calculate the distance between two parallel planes is as follows.
The distance between two parallel planes,
Formula used:
The distance between two parallel planes,
Complete step-by-step solution:
The distance between the given two parallel planes is nothing but the shortest distance between the two plane surfaces.
Let
Generally, two planes are said to be parallel if they don’t intersect each other and their ratios are equal.
The steps that are followed to determine the distance between two parallel planes are listed below.
a) We need to write the given equations for both the planes in standard form
b) The next important step is to check whether the given equations are parallel or not. Generally, two planes are said to be parallel if they don’t intersect each other and their ratios are equal.
That is
c) The next step is to pick the coefficients from the first plane equation. (i.e.
d) Now, we shall identify the points from the second plane equation. (i.e.
e) Now, we need to substitute the obtained values in the formula of distance.
Therefore, the required formula to calculate the distance between two parallel planes is as follows.
The distance between two parallel planes,
Note: The distance between the given two parallel planes is nothing but the shortest distance between the two plane surfaces. After following the above steps, we need to substitute the values in the formula. Therefore, the required formula to calculate the distance between two parallel planes is as follows.
The distance between two parallel planes,
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Trending doubts
Which one of the following is a true fish A Jellyfish class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Write the difference between solid liquid and gas class 12 chemistry CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?
