Motion In A Plane Ques 2

2. Six vectors, $\vec{a}$ through $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true?

[2010]

(a) $\vec{b}+\vec{c}=\vec{f}$

(b) $\vec{d}+\vec{c}=\vec{f}$

(c) $\vec{d}+\vec{e}=\vec{f}$

(d) $\vec{b}+\vec{e}=\vec{f}$

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Answer:

Correct Answer: 2.(c)

Solution: (c) Using the law of vector addition, $(\vec{d}+\vec{e})$ is as shown in the fig.

$ \therefore \quad \vec{d}+\vec{e}=\vec{f} $