AP EAMCET · Maths · Vector Algebra
If \(|a|=13,|b|=5\) and \(\bar{a} \cdot \bar{b}=60\) then \(|\bar{a} \times \bar{b}|=\)
- A 15
- B 20
- C 30
- D 25
Answer & Solution
Correct Answer
(D) 25
Step-by-step Solution
Detailed explanation
Given \(|\vec{a}|=13,|\vec{b}|=5\) and \(\vec{a} \cdot \vec{b}=60\) \[ \cos \theta=\frac{\vec{a} \cdot \vec{b}}{|\vec{a}||\vec{b}|}=\frac{12}{13 \times 5}=\frac{12}{13} \] Now, \(\sin ^2 \theta=1-\cos ^2 \theta=1-\frac{144}{169}=\frac{25}{169}\) \[ \sin \theta=\frac{5}{13} \]…
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