(A) When a vector $\vec{A}$ is multiplied by a scalar $k$,the new vector is $\vec{A}' = k\vec{A}$.The magnitude of the new vector is given by $|\vec{A

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The magnitude becomes $\frac{3}{2}$ times the original magnitude.

(A) When a vector $\vec{A}$ is multiplied by a scalar $k$,the new vector is $\vec{A}' = k\vec{A}$.The magnitude of the new vector is given by $|\vec{A}'| = |k| \cdot |\vec{A}|$.Here,$k = -\frac{3}{2}$.Therefore,the magnitude is $|-\frac{3}{2}| \cdot |\vec{A}| = \frac{3}{2} |\vec{A}|$.Thus,the magnitude of the new vector is $\frac{3}{2}$ times the magnitude of the original vector.

Class 11 Physics 3-1.Vectors Fundamentals of Vectors

Medium

What is the magnitude of a new vector obtained by multiplying a vector $\vec{A}$ by $-\frac{3}{2}$?

A
The magnitude becomes $\frac{3}{2}$ times the original magnitude.
B
The magnitude becomes $-\frac{3}{2}$ times the original magnitude.
C
The magnitude becomes $\frac{2}{3}$ times the original magnitude.
D
The magnitude becomes $0$.

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What is the magnitude of a new vector obtained by multiplying a vector $\vec{A}$ by $-\frac{3}{2}$?

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