Question

The unit vector perpendicular to the vectors $6 \mathbf { i } + 2 \mathbf { j } + 3 \mathbf { k }$ and $3 \mathbf { i } - 6 \mathbf { j } - 2 \mathbf { k }$ is

• A. $\frac { 2 \mathbf { i } - 3 \mathbf { j } + 6 \mathbf { k } } { 7 }$
• B. $\frac { 2 \mathbf { i } - 3 \mathbf { j } - 6 \mathbf { k } } { 7 }$
• C. $\frac { 2 \mathbf { i } + 3 \mathbf { j } - 6 \mathbf { k } } { 7 }$
• D. $\frac { 2 \mathbf { i } + 3 \mathbf { j } + 6 \mathbf { k } } { 7 }$

Answer 1

Answer: (C)

$\frac { 2 \mathbf { i } + 3 \mathbf { j } - 6 \mathbf { k } } { 7 }$

Answer 2

Unit vector perpendicular to both the given vectors is,

.