13 In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.
(e) 4x + 8y + z – 8 = 0 and y + z – 4 = 0
whose direction ratios are and whose direction ratios are ,
are said to Parallel:
And the angle between is given by the relation,
So, given two planes
So, applying each condition to check:
Clearly, the given planes are NOT parallel as .
Clearly, the given planes are NOT perpendicular.
Then finding the angle between them,
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