If two vectors A = 4i + nj + 2k and B = 2i + 2j - k are mutually perpendicular to each other then value of 'n' is (a) +3 (b) +1 (c) -3 (d) -1

Answer: (c). A · B = 8 + 2n - 2 = 0 2n = -6 ⇒ n = -3, answer (c).

If two vectors A = 4i + nj + 2k and B = 2i + 2j - k are mutually… | MHT CET 2026 (20 Apr, Shift 2)

Q5MHT CET 2026 · 20 APR · SHIFT 2Easy

Scalar (Dot) Product

If two vectors $\vec{A} = 4\hat{i} + n\hat{j} + 2\hat{k}$ and $\vec{B} = 2\hat{i} + 2\hat{j} - \hat{k}$ are mutually perpendicular to each other then value of 'n' is

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Answer: (c)

$\vec{A} \cdot \vec{B} = 8 + 2n - 2 = 0$
$2n = -6 \Rightarrow n = -3$ , answer (c).

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