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Physics · MOTION IN A PLANE
हिन्दीA vector \( \mathbf{A} \) of magnitude \( 5\text{ units} \) is directed due East. If it is multiplied by a scalar factor \( \lambda = -2 \), what are the magnitude and direction of the resultant vector \( \lambda \mathbf{A} \)?
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Correct answer · Option A
\( 10\text{ units} \) towards West
Explanation
Multiplying a vector by a negative scalar multiplies its magnitude by \( |\lambda| \) and reverses its direction. Magnitude = \( |-2| \times 5 = 10\text{ units} \), directed opposite to East, i.e., West.
