A man walks $3$ units in the North-East direction and then $4$ units in the North-West direction. The vector $\overrightarrow{OP}$ is
- A. $(-i+j)/\sqrt2$
- B. $(i+j)/2$
- C. $(i-7j)/\sqrt2$
- D. $(-i+7j)/\sqrt2$
✅ Correct Answer: $(-i+7j)/\sqrt2$
Explanation
Unit vector in North-East direction is $(i+j)/\sqrt2$ Unit vector in North-West direction is $(-i+j)/\sqrt2$ $\overrightarrow{OA}=3(i+j)/\sqrt2$ $\overrightarrow{AP}=4(-i+j)/\sqrt2$ $\overrightarrow{OP}=(-i+7j)/\sqrt2$
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