MHT CET · Physics · Mathematics in Physics
If \(\vec{P}=b \hat{i}+6 \hat{j}+\hat{k}\) and \(\vec{Q}=\hat{i}-a \hat{j}+4 \hat{k}\) are perpendicular to each other, also \(3 b-a=5\). The value of \(a\) and \(b\) is
- A \(a=2, b=1\)
- B \(a=1, b=2\)
- C \(a=2, b=3\)
- D \(a=4, b=3\)
Answer & Solution
Correct Answer
(B) \(a=1, b=2\)
Step-by-step Solution
Detailed explanation
Since " \(\vec{P} \perp \vec{Q} \) ", then " \(\vec{P} \cdot \vec{Q} = 0\) ". \((b)(1) + (6)(-a) + (1)(4) = 0\)
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