There are two vectors A = 6i + 9j - k and B = 2i + 3j - pk which have the same direction. The value of 'p' is (a) 3 (b) 1/3 (c) 2/3 (d) -1/3

Answer: (b). Vectors in the same direction have proportional components: 6/2 = 9/3 = -1/-p. 6/2 = 3 ⇒ 1/p = 3 ⇒ p = 1/3 So the answer is (b) 1/3.

There are two vectors A = 6i + 9j - k and B = 2i + 3j - pk which have… | MHT CET 2026 (17 Apr, Shift 2)

Q1MHT CET 2026 · 17 APR · SHIFT 2Easy

Vector Basics, Unit Vectors & Components

There are two vectors $\vec{A} = 6\hat{i} + 9\hat{j} - \hat{k}$ and $\vec{B} = 2\hat{i} + 3\hat{j} - p\hat{k}$ which have the same direction. The value of 'p' is

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Answer: (b)

Vectors in the same direction have proportional components: $\frac{6}{2} = \frac{9}{3} = \frac{-1}{-p}$ .
$\frac{6}{2} = 3 \Rightarrow \frac{1}{p} = 3 \Rightarrow p = \frac{1}{3}$
So the answer is (b) $\frac{1}{3}$ .

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