Q61 / 150 · MHT CET 2022 (08 Aug Shift 1) · Mathematics

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

  • A
    (2,4,1)
  • B
    (3,5,2)
  • Correct answer
    C
    (3,5,-2)
  • D
    (2,4,-1)

Solution

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

Hence, the correct answer is option: 'C'.

Relevant Questions