First slide

Vectors

Question

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

Moderate

A

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

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

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

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

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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