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In the Following Cases, Determine Whether the Given Planes Are Parallel Or Perpendicular, and in Case They Are Neither, Find the Angles Between Them. 2x + Y + 3z – 2 = 0 and X – 2y + 5 = 0

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Question

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.

2x + y + 3z – 2 = 0 and x – 2y + 5 = 0

 

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Solution

The equations of the planes are 2x + y + 3z – 2 = 0 and x – 2y + 5 = 0

Thus, the given planes are perpendicular to each other.

 

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Chapter 11: Three Dimensional Geometry - Exercise 11.3 [Page 494]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 11 Three Dimensional Geometry
Exercise 11.3 | Q 13.2 | Page 494
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