CUET · MATHS · PYQ PAPER 2025
If \(|\vec{a}|=10,|\vec{b}|=2\) and \(\vec{a} \cdot \vec{b}=12\), then value of \(|\vec{a} \times \vec{b}|\) is :
- A 5
- B 10
- C 14
- D 16
Answer & Solution
Correct Answer
(D) 16
Step-by-step Solution
Detailed explanation
\(|\vec{a} \times \vec{b}|^2 = |\vec{a}|^2 |\vec{b}|^2 - (\vec{a} \cdot \vec{b})^2\) \(|\vec{a} \times \vec{b}|^2 = (10)^2 (2)^2 - (12)^2\) \(|\vec{a} \times \vec{b}|^2 = 400 - 144 = 256\) \(|\vec{a} \times \vec{b}| = \sqrt{256} = 16\)
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