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Vectors — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsVectors2 Marks
MCQ
If $\overline{ a }$ is a non-zero vector and $| k \overline{ a }|=1$, then $k =$
  • A
    $|\bar{a}|$
  • B
    1
  • C
    $-1$
  • ✓
    $\pm \frac{1}{|\bar{a}|}$
✓

Answer

Correct option: D.
$\pm \frac{1}{|\bar{a}|}$
(D) $| k \overline{ a }|=1 \Rightarrow| k ||\overline{ a }|=1$
$\Rightarrow| k |=\frac{1}{|\overline{ a }|}$
$\Rightarrow k = \pm \frac{1}{|\overline{ a }|}$

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