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Vector Algebra

Oswaal

CBSE

Grade 12

Question:

If $\vec{a}$ and $\vec{b}$ are unit vectors and $\theta$ is angle between them, then $|\vec{a} - \vec{b}|$ is:
(a) $2 \sin(\theta/2)$
(b) $2 \cos(\theta/2)$
(c) $\sin(\theta/2)$
(d) $\cos(\theta/2)$

Step-by-Step Solution

Key Concept: |a-b|^2 = 2 - 2 cos\theta = 4 sin^2(\theta/2).

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $2 \sin(\theta/2)$

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