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Question: If OP = 8 and \(\overrightarrow { O P }\) makes angles \(45 ^ { \circ }\) and \(60 ^ { \circ }\) w...

If OP = 8 and OP→\overrightarrow { O P } makes angles 45∘45 ^ { \circ } and 60∘60 ^ { \circ } with OX-axis and OY-axis respectively, then OP→=\overrightarrow { O P } =

A

8(2i+j±k)8 ( \sqrt { 2 } \mathbf { i } + \mathbf { j } \pm \mathbf { k } )

B
C

14(2i+j±k)\frac { 1 } { 4 } ( \sqrt { 2 } \mathbf { i } + \mathbf { j } \pm \mathbf { k } )

D

18(2i+j±k)\frac { 1 } { 8 } ( \sqrt { 2 } \mathbf { i } + \mathbf { j } \pm \mathbf { k } )

Answer
Explanation

Solution

Trick : Here is the only vector 4(2i+j±k)4 ( \sqrt { 2 } \mathbf { i } + \mathbf { j } \pm \mathbf { k } ) , whose length is 8.