Vector Algebra Question 332

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

[MP PET 2002]

Options:

A) $ m=\pm 1 $

B) $ m=|\mathbf{a}| $

C) $ m=\frac{1}{|\mathbf{a}|} $

D) $ m=\pm ,2 $

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Answer:

Correct Answer: C

Solution:

  • ma is a unit vector if and only if $ |m,\mathbf{a}| $
    Þ $ m $ $ |a|,=1 $
    Þ $ m=\frac{1}{|\mathbf{a}|} $ .