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Mathematics · JEE | VECTOR ALGEBRA
हिन्दीIf \( \vec{a} \) is a nonzero vector of magnitude \( a \) and \( \lambda \) is a nonzero scalar, then \( \lambda\vec{a} \) is a unit vector if:
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Correct answer · Option A
\( a = \frac{1}{|\lambda|} \)
Explanation
For \( \lambda\vec{a} \) to be a unit vector, \( |\lambda\vec{a}| = 1 \implies |\lambda||\vec{a}| = 1 \implies |\lambda|a = 1 \implies a = \frac{1}{|\lambda|} \).
