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Question

(A) When a vector $\overrightarrow{A}$ is multiplied by a positive real number $\lambda$,the resulting vector $\overrightarrow{B} = \lambda \overright

Vedclass · Accepted Answer

$A$ new vector with the same direction as $\overrightarrow{A}$ and magnitude $\lambda |\overrightarrow{A}|$.

Vedclass · Answer

(A) When a vector $\overrightarrow{A}$ is multiplied by a positive real number $\lambda$,the resulting vector $\overrightarrow{B} = \lambda \overrightarrow{A}$ has the following properties:$1$. The magnitude of the new vector is $\lambda$ times the magnitude of the original vector,i.e.,$|\overrightarrow{B}| = \lambda |\overrightarrow{A}|$.$2$. Since $\lambda$ is positive,the direction of the new vector $\overrightarrow{B}$ remains the same as the direction of the original vector $\overrightarrow{A}$.Therefore,the correct option is $A$.

What is the result of multiplying a vector $\overrightarrow{A}$ by a positive real number $\lambda$?

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