vector `veca` lies in the xy plane, has a magnitude of 18 units, and points in a direction `250^(@)` from the positive direction of the x axis. Also, vector `vecb` has a magnitude of 12 units and points in the positive direction of the z axis. What is the vector product `vecc=vecaxx vecb` ?

Explanation

To solve the problem, we need to find the vector product \( \vec{C} = \vec{A} \times \vec{B} \). We are given the following information:

1. Vector \( \vec{A} \) lies in the xy-plane, has a magnitude of 18 units, and points at an angle of \( 250^\circ \) from the positive x-axis.
2. Vector \( \vec{B} \) has a magnitude of 12 units and points in the positive direction of the z-axis.

### Step 1: Determine the components of vector \( \vec{A} \)

The components of vector \( \vec{A} \) can be calculated using trigonometric functions:
...