The x, y components of vector P have magnitudes 1 and 3 and x, y components of resultant of P and Q have magnitudes 5 and 6, respectively. What is the magnitude of Q? (a) 5 (b) 4 (c) 3 (d) 2

Answer: (a). Q = R - P, so subtract components. Qx = 5 - 1 = 4, Qy = 6 - 3 = 3 |Q| = √(16 + 9) = 5 So the answer is (a) 5.

The x, y components of vector P have magnitudes 1 and 3 and x, y… | MHT CET 2020 (16 Oct, Shift 2)

Q17MHT CET 2020 · 16 OCT · SHIFT 2Easy

Vector Basics, Unit Vectors & Components

The $x, y$ components of vector $\mathbf{P}$ have magnitudes 1 and 3 and $x, y$ components of resultant of $\mathbf{P}$ and $\mathbf{Q}$ have magnitudes 5 and 6, respectively. What is the magnitude of $\mathbf{Q}$ ?

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Answer: (a)

$\vec{Q} = \vec{R} - \vec{P}$ , so subtract components.
$Q_x = 5 - 1 = 4$ , $Q_y = 6 - 3 = 3$
$|\vec{Q}| = \sqrt{16 + 9} = 5$
So the answer is (a) 5.

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