If $\overline{A B}=(2 \hat{i}+3 \hat{j}-\hat{k})$ and $A(1,2,-1)$ is the given point, then the coordinates of $B$ are

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Aicharya · Accepted Answer

Let $B(x, y, z)$ then $\overrightarrow{A B}=(x-1) \hat{i}+(y-2) \hat{j}+(z+1) \widehat{k}$ $\begin{aligned} & \Rightarrow x-1=2, y-2=3 	ext { and } z+1=-1 \ & \Rightarrow x=3, y=5 	ext { and } z=-2 \ & \Rightarrow B \equiv(3,5,-2) \end{aligned}$

If $\overline{A B}=(2 \hat{i}+3 \hat{j}-\hat{k})$ and $A(1,2,-1)$ is the given point, then the coordinates…

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