A vector perpendicular to both of the vectors i + j + k and i + j… - Vidyadip

MCQ

A vector perpendicular to both of the vectors $i + j + k$ and $i + j$ is

A
$i + j$
B
$i -j$
✓
$c(i - j),c$ is a scalar
D
None of these

✓

Answer

Correct option: C.

$c(i - j),c$ is a scalar

c
(c) Vector perpendicular to both of the vectors $i+j+k$

and $i+j$ is $\frac{(i+j+k)\times (i+j)}{|(i+j+k)\times (i+j)|}$

, $ = \frac{{ - i + j}}{{\sqrt 2 }} = \frac{{ - 1}}{{\sqrt 2 }}(i - j)$ or where $ c$ is a scalar.

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