The unit vector perpendicular to both i + j and j + k is - Vidyadip

MCQ

The unit vector perpendicular to both $i + j$ and $j + k$ is

A
$i -j + k$
B
$i + j + k$
C
$\frac{{i + j - k}}{{\sqrt 3 }}$
✓
$\frac{{i - j + k}}{{\sqrt 3 }}$

✓

Answer

Correct option: D.

$\frac{{i - j + k}}{{\sqrt 3 }}$

d
(d) Unit vector perpendicular to both

$ = \frac{{(i + j) \times (j + k)}}{{|(i + j) \times (j + k)|}} = \frac{{i - j + k}}{{\sqrt 3 }}$.

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