Question

Find the direction of this vector:

-22.2 m
12.6 m
Remember, angles are measured from
the +x-axis.
x-component (m)

Answer 1

Therefore, the direction of the vector is 180° - 29.3° = 150.7° (measured counterclockwise from the positive x-axis).

Explanation:

To find the direction of the vector, we need to calculate its angle with respect to the positive x-axis. We can use the inverse tangent function to do this. The formula for the angle θ is:

θ = tan⁻¹ (y/x)

where y is the vertical component and x is the horizontal component of the vector.

In this case, the x-component is -22.2 m and the y-component is 12.6 m. So, we have:

θ = tan⁻¹ (12.6 / (-22.2))

Using a calculator, we find:

θ ≈ -29.3°

Since the x-component is negative, the vector points towards the negative x-axis. Therefore, the direction of the vector is 180° - 29.3° = 150.7° (measured counterclockwise from the positive x-axis).