Question
Download Solution PDFFind the angle between the planes x + y + z = 1 and x - 2y + 3z = 1.
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
i.e.
Calculation:
Given: The planes x + y + z = 1 and x - 2y + 3z = 1.
Here A1 = 1, B1 = 1 C1 = 1 and A2 = 1, B2 = -2 C2 = 3
∴ The angle between the two planes x + y + z = 1 and x - 2y + 3z = 1.is
∴ The angle between the planes is
Last updated on Jun 19, 2025
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