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If OP=8 and OP makes angles 45^(@) and 6...

If OP=8 and OP makes angles `45^(@) and 60^(@)` with OX-axis and OY-axis respectively, then OP is equal to

A

`8(sqrt(2)hati+hatj+-hatk)`

B

`4(sqrt(2)hati+hatj+-hatk)`

C

`(1)/(4)(sqrt(2)hati+hatj+-hatk)`

D

`(1)/(8)(sqrt(2)hati+hatj+-hatk)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here is the only vector `4(sqrt(2)hati+hatj+-hatk)`, whose length is 8.
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