Given A = (2i - 3j + k), B = (3i + j - 2k) and C = (3i + 2j + k), then (A + B) · C will be (a) 10 (b) 12 (c) 18 (d) 20

Answer: (a). A + B = 5i - 2j - k (A + B) · C = 15 - 4 - 1 = 10 So the answer is (a) 10.

Given A = (2i - 3j + k), B = (3i + j - 2k) and C = (3i + 2j + k)… | MHT CET 2025 (22 Apr, Shift 2)

Q11MHT CET 2025 · 22 APR · SHIFT 2Easy

Scalar (Dot) Product

Given $\vec{A} = (2\hat{i} - 3\hat{j} + \hat{k}), \quad \vec{B} = (3\hat{i} + \hat{j} - 2\hat{k})$ and $\vec{C} = (3\hat{i} + 2\hat{j} + \hat{k})$ , then $(\vec{A} + \vec{B}) \cdot \vec{C}$ will be

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Answer: (a)

$\vec{A} + \vec{B} = 5\hat{i} - 2\hat{j} - \hat{k}$
$(\vec{A} + \vec{B}) \cdot \vec{C} = 15 - 4 - 1 = 10$
So the answer is (a) 10.

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Scalar (Dot) Product question from MHT CET 2025 (22 Apr, Shift 2)

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