Calculate the values of a and b if vectors ai + bj = n and (i + j) are perpendicular to each other (a) 1/2, 1/2 (b) 0, 0 (c) √(2), -1/√(2) (d) (1/√(2)), (-1/√(2))

Answer: (d). n is a unit vector: a² + b² = 1. Perpendicular to i + j: a + b = 0 ⇒ b = -a. 2a² = 1 ⇒ a = 1/√(2), b = -1/√(2) So the answer is (d).

Calculate the values of a and b if vectors ai + bj = n and (i + j)… | MHT CET 2026 (13 Apr, Shift 2)

Q9MHT CET 2026 · 13 APR · SHIFT 2Medium

Scalar (Dot) Product

Calculate the values of $a$ and $b$ if vectors $a\hat{i} + b\hat{j} = \hat{n}$ and $(\hat{i} + \hat{j})$ are perpendicular to each other

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Answer: (d)

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