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Question: A unit vector which is perpendicular to \(\mathbf { i } + 2 \mathbf { j } - 2 \mathbf { k }\) and \(...

A unit vector which is perpendicular to i+2j−2k\mathbf { i } + 2 \mathbf { j } - 2 \mathbf { k } and −i+2j+2k- \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k } is

A

15(2i−k)\frac { 1 } { \sqrt { 5 } } ( 2 \mathbf { i } - \mathbf { k } )

B

15(−2i+k)\frac { 1 } { \sqrt { 5 } } ( - 2 \mathbf { i } + \mathbf { k } )

C

15(2i+j+k)\frac { 1 } { \sqrt { 5 } } ( 2 \mathbf { i } + \mathbf { j } + \mathbf { k } )

D
Answer
Explanation

Solution

Unit vector is equal to