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

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=±1m = \pm 1

B

m=∣a∣m = |\mathbf{a}|

C

m=1∣a∣m = \frac{1}{|\mathbf{a}|}

D

m=±2m = \pm 2

Answer

m=1∣a∣m = \frac{1}{|\mathbf{a}|}

Explanation

Solution

ma is a unit vector if and only if ∣ma∣|m\mathbf{a}|⇒ mm ∣a∣=1|a| = 1

⇒ m=1∣a∣m = \frac{1}{|\mathbf{a}|}.