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If O be the origin and OP=r and OP makes...

If O be the origin and OP=r and OP makes an angle theta with the positive direction of x-axis and lies in the XY plane find the coordinates of P.

A

`(r cos alpha,0,r sin alpha)`

B

`(0,0,r sin alpha)`

C

`(r cos alpha,0,0)`

D

`(0,0,r cos alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A

Since line OP of length 'r' which makes an angle `'alpha'` with x-axis lies xz-plane.
Therefore y-coordinate of P is zero.
Now, from `DeltaOAP`, we have
`OA=r cosalpha,PA=r sin alpha`.
`:. P=(r cos alpha, 0, r sin alpha)`
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