Vector v has a direction of (5,3). Find the direction angle for v to the nearest degree.

Answer 1

To find the direction angle of vector v, we can use the formula:

θ = tan^(-1)(y/x)

where y is the y-component of the vector and x is the x-component of the vector.

In this case, the y-component is 3 and the x-component is 5. Plugging these values into the formula, we get:

θ = tan^(-1)(3/5)
θ ≈ 30.96 degrees

Therefore, the direction angle of vector v to the nearest degree is 31 degrees.