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Question

Angle between the lines ¯r=(^i+2^j^k)+μ(^i^j+^k) and Normal to the plane ¯r=(2^i^j+^k)

A
sin1(223)
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B
cos1(223)
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C
tan1(223)
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D
cot1(223)
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Solution

The correct option is B cos1(223)
Angle between the lines ¯r=(^i+2^j^k)+μ(^i^j+^k) and Normal to the plane
¯r=(2^i^j+^k)=4
θ=cos1⎢ ⎢(^i^j+^k).(2^i^j+^k)(12+12+12)(22+12+12)⎥ ⎥=cos1(223)
Ans: B

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