CUET · MATHS · PYQ PAPER 2025
If \(\vec{a}\) and \(\vec{b}\) are two non-zero orthogonal vectors, then \(|\vec{a}+\vec{b}|\) is equal to:
- A 0
- B \(2|\vec{b}|\)
- C \(2|\vec{a}|\)
- D \(|\vec{a}-\vec{b}|\)
Answer & Solution
Correct Answer
(D) \(|\vec{a}-\vec{b}|\)
Step-by-step Solution
Detailed explanation
\(|\vec{a}+\vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 + 2(\vec{a} \cdot \vec{b})\) \(|\vec{a}+\vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 + 2(0) = |\vec{a}|^2 + |\vec{b}|^2\) \(|\vec{a}-\vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 - 2(\vec{a} \cdot \vec{b})\)…
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