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MHT CET 2026 (16 Apr, Shift 2) · Scalar (Dot) Product

Scalar (Dot) Product question from MHT CET 2026 (16 Apr, Shift 2)

Q8MHT CET 2026 · 16 APR · SHIFT 2Medium

Scalar (Dot) Product

Vectors $a\hat{i} + b\hat{j} + \hat{k}$ and $2\hat{i} - 3\hat{j} + 4\hat{k}$ are perpendicular to each other when $3a + 2b = 7$ , the ratio of a to b is $x/2$ . The value of x is

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Answer: (b)

Perpendicular: $2a - 3b + 4 = 0$ ; also $3a + 2b = 7$ .
Solving: $a = 1$ , $b = 2$ .
$\frac{a}{b} = \frac{1}{2} = \frac{x}{2} \Rightarrow x = 1$
So the answer is (b) 1.

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