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Vector Algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVector Algebra1 Mark
MCQ
The vector having initial and terminal points as $(2,5,0)$ and $(-3,7,4)$ respectively is
  • A
    $-\hat{i}+12 \hat{j}+4 \hat{k}$
  • B
    $5 \hat{i}+2 \hat{j}-4 \hat{k}$
  • ✓
    $-5 \hat{i}+2 \hat{j}+4 \hat{k}$
  • D
    $\hat{i}+\hat{j}+\hat{k}$
✓

Answer

Correct option: C.
$-5 \hat{i}+2 \hat{j}+4 \hat{k}$
(c) : Let $A(2,5,0)$ and $B(-3,7,4)$
$
\begin{aligned}
\therefore \quad \text { Required vector } & =(-3-2) \hat{i}+(7-5) \hat{j}+(4-0) \hat{k} \\
& =-5 \hat{i}+2 \hat{j}+4 \hat{k}
\end{aligned}
$

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