Question

(a) On a piece of graph paper, draw the vector $\overrightarrow{\mathbf{f}}\mathbf{=}<-2,4,0>$, putting the tail of the vector at $<-3,0,0>$.Label the vector $\overrightarrow{\mathbf{f}}$.

Short answer

The graph of Vector with the Vector tail =

Step-by-step solution

Given Information

Vector

Vector tail =

Vector

The vector has three components. These three components are the unit cut by the vector on x, y and z axis. The vector components can be represented by the following manner.

Let the vector is r, then the vector component of the vector r will be,

Where, ${\mathrm{r}}_{\mathrm{x}}\mathrm{is}\mathrm{x}\mathrm{axis}\mathrm{unit},{\mathrm{r}}_{\mathrm{y}}\mathrm{is}\mathrm{y}\mathrm{axis}\mathrm{unit},{\mathrm{r}}_{\mathrm{z}}\mathrm{is}\mathrm{z}\mathrm{component}\mathrm{unit}$.

(a) Graph

The graph of Vector with the Vector tail = , will be after labelling,