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Physics · MOTION IN A PLANE
हिन्दीThe maximum resultant of two vectors \( \mathbf{P} \) and \( \mathbf{Q} \) is 17 units, and their minimum resultant is 7 units. If these two vectors act at right angles (\( 90^\circ \)) to each other, what is the magnitude of their resultant?
Correct answer · Option 4
\( 13\text{ units} \)
Explanation
From \( P + Q = 17 \) and \( P - Q = 7 \), solving gives \( P = 12\text{ units} \) and \( Q = 5\text{ units} \). When acting at right angles, \( R = \sqrt{P^2 + Q^2} = \sqrt{12^2 + 5^2} = 13\text{ units} \).
