A vector A has magnitude 6 units is added to vector B which is along x -axis. The resultant of A and B is along y -axis. If the magnitude of the resultant of A and B is 3 times that of B then the magnitude of B is (a) 3 (b) √(3.6) (c) 6 (d) 4

Answer: (b). B = Bi and R = 3Bj. A = R - B = -Bi + 3Bj |A|² = 10B² = 36 ⇒ B² = 3.6 So the answer is (b) √(3.6).

A vector A has magnitude 6 units is added to vector B which is along… | MHT CET 2026 (14 May, Shift 1)

Q5MHT CET 2026 · 14 MAY · SHIFT 1Medium

Addition & Subtraction of Vectors

A vector $\vec{A}$ has magnitude $6$ units is added to vector $\vec{B}$ which is along $x$ -axis. The resultant of $\vec{A}$ and $\vec{B}$ is along $y$ -axis. If the magnitude of the resultant of $\vec{A}$ and $\vec{B}$ is $3$ times that of $\vec{B}$ then the magnitude of $\vec{B}$ is

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Answer: (b)

$\vec{B} = B\hat{i}$ and $\vec{R} = 3B\hat{j}$ .
$\vec{A} = \vec{R} - \vec{B} = -B\hat{i} + 3B\hat{j}$
$|\vec{A}|^2 = 10B^2 = 36 \Rightarrow B^2 = 3.6$
So the answer is (b) $\sqrt{3.6}$ .

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Addition & Subtraction of Vectors question from MHT CET 2026 (14 May, Shift 1)

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