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A vector makes angles \frac{\pi }{3} , \frac{\pi }{6} , \frac{\pi }{2}  with positive x, y and z axis respectively, then it has one of the direction ratios as

Option: 1

-2,\sqrt{3},1


Option: 2

2,-\sqrt{3},0


Option: 3

\sqrt{3},2,0


Option: 4

-1,-\sqrt{3},0


Answers (1)

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l = cos\frac{\pi }{3}=\frac{1}{2}; m=cos\frac{\pi }{6}=\frac{\sqrt{3}}{2}; n= cos\frac{\pi }{2}=0

Multiplying these DC's by (-2), we get one of the DRs of the vector, which gives us -1,- \sqrt{3},0

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Divya Prakash Singh

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