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

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$\vec{b} + \vec{c} = \vec{f}$

$\vec{d} + \vec{c} = \vec{f}$

$\vec{b} + \vec{e} = \vec{f}$

$\vec{d} + \vec{e} = - \vec{f}$

answer is C.

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Detailed Solution

If two non – zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors

$∴ \vec{d} + \vec{e} = - \vec{f}$

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