Question
Download Solution PDFWhat is the angle between the planes 2x - y - 2z + 1 = 0 and 3x - 4y + 5z - 3 = 0 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 be any two planes . then the angle between them is given by ,
Calculations :
Given the planes are 2x - y - 2z + 1 = 0 and 3x - 4y + 5z - 3 = 0 .
We know that , a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 be any two planes . then the angle between them is given by ,
Here , a1 = 2, a2 = 3, b1 = - 1, b2 = - 4, c1 = - 2, c2 = 5.
⇒
Hence, the angle between the planes 2x - y - 2z + 1 = 0 and 3x - 4y + 5z - 3 = 0 is
Last updated on Jun 20, 2025
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