Exams › NEET › Physics

Six vectors, a through f, have the magnitudes and directions indicated in the figure. Which of the following statements is true?

1. \(\vec b + \vec c = \vec f\)
2. \(\vec d + \vec c = \vec f\)
3. \(\vec d + \vec e = \vec f\)
4. \(\vec b + \vec e = \vec f\)

Correct answer: \(\vec d + \vec e = \vec f\)

Solution

From the given vector diagram, the head-to-tail addition of \(\vec d\) and \(\vec e\) produces \(\vec f\). The other combinations do not match both the direction and magnitude of \(\vec f\).

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