## Calculus 8th Edition

Published by Cengage

# Chapter 12 - Vectors and the Geometry of Space - 12.5 Equations of Lines and Planes - 12.5 Exercises - Page 872: 52

Parallel

#### Work Step by Step

$n_1=\lt9,-3,6\gt$ and $n_2=\lt 6,-2,4\gt$ Angle between two vectors$\theta= cos^{-1}|\dfrac{a.b}{|a||b|}|$ $\theta= cos^{-1}|\dfrac{84}{\sqrt {126} \sqrt {56}}|$ $\theta= cos^{-1}|\dfrac{84}{\sqrt {7056}}|$ $\theta =0 ^{\circ}$ Hence, the two planes are parallel.

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