Question
Download Solution PDFThe angle between the planes 2x + y + z = 7 and x - y + 2z = 9 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The acute angle θ between two planes a1x + b1y + c1z = d1 and a2x + b2y + c2z = d2 is given by the formula:
Calculation:
Given: 2x + y + z = 7 and x - y + 2z = 9.
That means,
a1 = 2, b1 = 1, c1 = 1 and a2 = 1, b2 = - 1, c2 = 2.
To Find: Angle between the planes
Using the above formula for angle θ:
⇒ θ = 60°.
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