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Let O be the origin and P be the point a...

Let O be the origin and P be the point at a distance 3 units from origin. If direction ratios of OP are (1,-2,-2), then coordinates of P is given by

A

(1,-2-2)

B

(3,-6,-6)

C

(1/3,-2/3,-2/3)

D

(1/9,-2/9,-2/9)

Text Solution

Verified by Experts

The correct Answer is:
A
`because` Direction cosines of OP are
`((1)/(3),(-2)/(3),(-2)/(3))`,also OP=r=3
Now, point P is given by P(lr,mr,nr)
i.e., `P(x,y,z)=P[(1)/(3)(3),-((2)/(3))3,(-(2)/(3))3]`
`=P(1,-2,-2)`
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