Chapter 10.3, Problem 72E

To determine

To draw: The sketch of the cross product $\text{u}\times \text{v}$ and $\text{v}\times \text{u}$ .

Answer to Problem 72E

The sketch of the cross product is shown in Figure (1).

Explanation of Solution

Given information:

The given vectors are shown in the figure.

  

Calculation:

The cross product of two vectors is always perpendicular to the vectors. The below figure shows the sketch of $\text{u}\times \text{v}$ and $\text{v}\times \text{u}$ .

  

Figure (1)

In Figure (1), the sketch of $\text{u}\times \text{v}$ and $\text{v}\times \text{u}$ is perpendicular to the both vectors $u$ and $v$ .

The direction of $\text{u}\times \text{v}$ and $\text{v}\times \text{u}$ is opposite to each other but lies in the same plane.

Therefore, the sketch of cross product is shown in Figure-(1).