If the direction of a vector overrightarrow{A | vedclass

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Question

(A) Let the initial vector be $\overrightarrow{A_{1}} = \overrightarrow{A}$.Since the direction is reversed,the final vector is $\overrightarrow{A_{2}

Vedclass · Accepted Answer

$-2\overrightarrow{A}, 2A$

Vedclass · Answer

(A) Let the initial vector be $\overrightarrow{A_{1}} = \overrightarrow{A}$.Since the direction is reversed,the final vector is $\overrightarrow{A_{2}} = -\overrightarrow{A}$.$(i)$ The change in vector is given by:$\Delta \overrightarrow{A} = \overrightarrow{A_{2}} - \overrightarrow{A_{1}}$$\Delta \overrightarrow{A} = -\overrightarrow{A} - \overrightarrow{A} = -2\overrightarrow{A}$.$(ii)$ The magnitude of the change in vector is:$|\Delta \overrightarrow{A}| = |-2\overrightarrow{A}| = 2|\overrightarrow{A}| = 2A$.

If the direction of a vector $\overrightarrow{A}$ is reversed,find $\Delta \overrightarrow{A}$ and $|\Delta \overrightarrow{A}|$.

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