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Vector Algebra
Xam Idea
CBSE
Grade 12
Question:
If $\vec{a}$ is a non-zero vector of magnitude $a$ and $\lambda$ is non-zero scalar, $\lambda \vec{a}$ is unit vector if: (a) $a = 1/|\lambda|$ (b) $a = |\lambda|$ (c) $\lambda = 1$ (d) $\lambda = -1$
Step-by-Step Solution
Key Concept: |\lambda a| = |\lambda| a = 1 => a = 1/|\lambda|.
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Correct Answer:$a = 1/|\lambda|$
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