Question

a force vector, , beginning at the origin, , is oriented as shown below. the angles of with respect to the x, y, and z axes are given below: = 53.2 = 58.5 = 127.3

Answer 1

To find the angles that vector F₁ makes with the x-, y-, and z-axes, we can use trigonometry.

Step-by-step explanation:

In this question, we are given the force vector F₁ with its components along the x, y, and z axes. To find the angles that F₁ makes with the x-, y-, and z-axes, we can use trigonometry. We can calculate the angle with the x-axis by using the arctan of F₁y/F₁x. Similarly, we can calculate the angle with the y-axis by using the arctan of F₁z/F₁y and the angle with the z-axis by using the arctan of F₁x/F₁z.

Using the given components, we can substitute them into the respective trigonometric formulas to find the angles. The angle with the x-axis is 124.1°, the angle with the y-axis is 84.3°, and the angle with the z-axis is 61.9°.