If a is non zero vector of modulus a and m is a non-zero scalar, … - Vidyadip

MCQ

If $a$ is non zero vector of modulus $ a $ and $m$ is a non-zero scalar, then $ma$ is a unit vector if

A
$m = \pm 1$
B
$m = \,\,|a|$
✓
$m = \frac{1}{{|a|}}$
D
$m = \pm \,2$

✓

Answer

Correct option: C.

$m = \frac{1}{{|a|}}$

c
(c) $ma $ is a unit vector if and only if $|m\,a|$ ==> $m$

$⇒$ $m = \frac{1}{{|a|}}$.

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