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Question

The angles which the vector A=3ˆi+6ˆj+2ˆk makes with the coordinate axes are

A
cos137,cos167 and cos127
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B
cos147,cos157 and cos137
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C
cos137,cos147 and cos117
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D
None of these
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Solution

The correct option is A cos137,cos167 and cos127
IfA=Ax^i+Ay^j+Az^k

then, the angles which it makes with coordinate axes are given by:

cosθ=magnitude of component along concerned directionA
where A is the magnitude of A is A=32+62+22=7

therefore, angle with x- axis α=cos137
angle with y-axix β=cos167
angle with z-axis γ=cos127

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