Six vectors $\vec{a}$ through $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of…
Six vectors $\vec{a}$ through $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true?
$\vec{b}+\vec{c}=\vec{f}$
$\vec{d}+\vec{c}=\vec{f}$
$\vec{d}+\vec{e}=\vec{f}$
$\vec{b}+\vec{e}=\vec{f}$
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
$\therefore \quad \overrightarrow{\mathrm{d}}+\overrightarrow{\mathrm{e}}=\overrightarrow{\mathrm{f}}$
