AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}, \mathbf{b}=m \hat{\mathbf{i}}+n \hat{\mathbf{j}}+12 \hat{\mathbf{k}}\) and \(\mathbf{a} \times \mathbf{b}=\mathbf{0}\), then \((m, n)\) is equal to
- A \(\left(\frac{-24}{5}, \frac{-36}{5}\right)\)
- B \(\left(\frac{-24}{5}, \frac{36}{5}\right)\)
- C \(\left(\frac{24}{5}, \frac{-36}{5}\right)\)
- D \(\left(\frac{24}{5}, \frac{36}{5}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{-24}{5}, \frac{-36}{5}\right)\)
Step-by-step Solution
Detailed explanation
We have, \(a=2 \hat{i}+3 \hat{j}-5 \hat{k}\) \(b=m \hat{i}+n \hat{j}+12 \hat{k}\) Since, \(a \times b=0 \quad \Rightarrow a \| b\)…
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