The resultant R of P and Q is perpendicular to P. Also |P| = |R|. The angle between P and Q is [tan 45° = 1] (a) 5π/4 (b) 7π/4 (c) π/4 (d) 3π/4

Answer: (d). Take P = Pi; then R = Pj (perpendicular, equal magnitude). Q = R - P = -Pi + Pj, which makes 135° with P. So the answer is (d) 3π/4.

The resultant R of P and Q is perpendicular to P. Also |P| = |R|. The… | MHT CET 2019 (2 May, Shift 1)

Q27MHT CET 2019 · 2 MAY · SHIFT 1Medium

Addition & Subtraction of Vectors

The resultant $\mathbf{R}$ of $\mathbf{P}$ and $\mathbf{Q}$ is perpendicular to $\mathbf{P}$ . Also $|\mathbf{P}| = |\mathbf{R}|$ . The angle between $\mathbf{P}$ and $\mathbf{Q}$ is $\left[\tan 45^\circ = 1\right]$

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Answer: (d)

Take $\vec{P} = P\hat{i}$ ; then $\vec{R} = P\hat{j}$ (perpendicular, equal magnitude).
$\vec{Q} = \vec{R} - \vec{P} = -P\hat{i} + P\hat{j}$ , which makes $135^\circ$ with $\vec{P}$ .
So the answer is (d) $\frac{3\pi}{4}$ .

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Addition & Subtraction of Vectors question from MHT CET 2019 (2 May, Shift 1)

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