Question

What is the x component of the vector shown in Figure OQS.9?

(a)8 cm

(b) 6 cm

(c) -4 cm

(d)-6 cm

(e)none ofthose answers

Short answer

The correct option is (d) $-6\mathrm{cm}$.

Step-by-step solution

Define the vector

A quantity that has both magnitude and direction is called a vector.

It's usually represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity.

Resulatnt position of of the vector.

When a particle is represented by a vector pointing from the starting location $\left(x_i,y_i\right)$ to the final point $\left(x_f,y_f\right)$, the resulting $x$-component of the vector is $x_f-x_i$.

From the given graph;

The vector's initial $x$-component is,$x_i=2 cm$.

The vector's final $x$-component is$x_f=-4 cm$.

As a result, the vector's consequent $x$-component is,

$$\begin{gathered} x_f-x_i=\left[\left(-4\right)-\left(2\right)\right]cm \\ =-6 \mathrm{cm} \end{gathered}$$

As a result, option (d) is correct choice.

Explanation for option (a)

As the $x$-component of the vector is $-6\mathrm{cm}$.

-6cmThus the option (a) is incorrect.

Explanation for option (b)

As the $x$-component of the vector is -6 cm..

Thus the option (b) is incorrect.

Explanation for option (c)

As the $x$-component of the vector is -6 cm..

Thus the option (c) is incorrect.

Explanation for option (e)

As the $x$-component of the vector is -6 cm.

Thus the option (e) is incorrect.