InterviewSolution
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InterviewSolution
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The acute angle between the planes `2x-y+z=6` and `x+y+2z=3` isA. `45^(@)`B. `60^(@)`C. `30^(@)`D. `75^(@)` |
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Answer» Correct Answer - B Vectors normals to the given planes are `vecn_(1)=2hati-hatj+hatk` and `vecn_(2)=hati+hatj+2hatk` Let `theta` be the acute angle between the planes. Then, `cos theta=(|vecn_(1).vecn_(2)|)/(|vecn_(1)||vecn_(2)|)=(|2-1+z|)/(sqrt(6)sqrt(6))=1/2impliestheta=60^(@)` |
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