Question
Download Solution PDFFind the angle between the two planes given by the equations 3x + 4y – 5z = 5 and 2x + 5y + 4z = 12.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Let A1x + B1y + C1z + D1 = 0 and A2x + B2y + C2 z + D2 = 0 are the equations of two planes aligned at an angle θ where A1, B1, C1 and A2, B2, C2 are the direction ratios of the normal to the planes, then the cosine of the angle between the two planes is given by:
CALCULATION
Given planes are 3x + 4y – 5z = 5 and 2x + 5y + 4z = 12.
Angle between angles
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