Question
Download Solution PDFWhat is the cosine of angle between the planes x + y + z + 1 = 0 and 2x - 2y + 2z + 1 = 0?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The angle between the two planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 is given by
Calculations:
Given planes are, x + y + z + 1 = 0 ⇒ a1x + b1y + c1z + d1 = 0
and 2x - 2y + 2z + 1 = 0 ⇒ a2x + b2y + c2z + d2 = 0
We know that the angle between the two planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 is given by
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