Question

Consider two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ . Let these two vectors represent two adjacent sides of a parallelogram. We construct a parallelogram OACB as shown in the diagram. Which of the following represent the resultant vector?

• A. $OA$
• B. $OC$
• C. $OB$
• D. None

Answer 1

The correct option is B $OC$

From the triangle $△OBC$,

$\Rightarrow \overline{OB}+\overline{BC}=\overline{OC}$ Where $\overline{OB}=\overline{B}$ and $\overline{BC}=\overline{A}$,

$\therefore$ Resultant Vector is $\overline{OC}$.