A) (2, 0)
B) (0, 2)
C) (-2, 0)
D) (0, -2)
Correct Answer: B
Solution :
[b] Let the coordinates of B be (x, y). \[\overset{\to }{\mathop{a}}\,=i-3j\] P.V. of A is (-1, 5 ) so, \[\overrightarrow{OA}=i+5j,\] \[\overrightarrow{OB}=xi+yj,\] \[\therefore \overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}=\overrightarrow{a}\] \[\Rightarrow (x+1)\hat{i}+(y-5)\hat{j}=\hat{i}-3\hat{j}\] \[\Rightarrow x+1=1\] and \[y-5=-3\] \[\Rightarrow x=0\] and \[y=2\] \[\therefore \] Coordinates of B are (0, 2 ).You need to login to perform this action.
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