91Ó°ÊÓ

Calculate the length of the 15.0-meter vector and use it as $\mathrm{x}$. Then, for sections (a) and (b), measure the length Here,

To calculate the appropriate distances and angles, use a ruler and a protractor, accordingly. if the vector sums and enter that value in for z. To find the magnitude, solve for y. To determine any angles, use a protractor.

The above equation can be used in drawing the further figure.

Draw the parallelogram that $\stackrel{¯}{A}$and $\stackrel{→}{B}$create. The vector from the origin to the opposite corner of the parallelogram is their sum.

A+ B vector diagram

The vector B has the same magnitude and direction as $−B$ but points in the opposite sense. Draw the parallelogram formed by $A$ and $−B$ and the vector from the origin to the opposite corner of the parallelogram. This is the sum $A−B$.

$−(A−B=−(A+B)$ has the same magnitude and direction as $A+B$ but opposite sense.

Ray diagram for case 3

$B-A$have same value as $A-B$ but only direction will be changed for option D is similar to that of B.

Diagram for case for

Hence here the value of $A+B$is $9m$, the value of$A-B$ is $22m$, the value of$–A-B$ is also $22$ but different direction and $B-A$ is $9$ meter