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A line AB is inclined to OX at 45^(@) an...

A line AB is inclined to OX at `45^(@)` and to OY at `60^(@)` and let P be any point
on line AB such that OP = 12 units. Then the position vector of 'P' is

A

(a) `12((1)/(2)hati+(1)/(2)hatjpm(1)/(sqrt(2))hatk)`

B

(b) `12((1)/(sqrt2)hati+(1)/(2)hatjpm(1)/(sqrt(2))hatk)`

C

(c) `12((1)/(sqrt2)hati+(1)/(2)hatjpm(1)/(2)hatk)`

D

(d) `12((1)/(2)hati+(1)/(sqrt2)hatjpm(1)/(sqrt2)hatk)`

Text Solution

Verified by Experts

The correct Answer is:
C
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