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Question

Acute angle between the line x52=y+11=z+41 and the plane 3x4yz+5=0 is

A
cos1(523)
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B
cos1(5213)
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C
sin1(5213)
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D
sin1(9364)
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Solution

The correct option is B cos1(5213)
Dr’s of line 2, –1, 1
Dr’s of normal to plane 3, -4, -1
sinθ=6+414+1+19+16+1=9156
θ=sin1(9239)=cos1(5213)

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