If vx = 7.00 units and vy = -7.60 units, determine the magnitude of v⃗ . determine the direction of v⃗ .

|V| = 10.33 units and the direction θ = -47.35° or 312.65°.

Given the x and y components of a vector, we can calculate the magnitude and direction from these components.

Applying the Pythagorean theorem we have that the magnitude of the vector is:

|V| =

|V| =

The expression for the direction of a vector comes from the definition of the tangent of an angle:

tan θ = ------>  θ = arc tan

θ = arc tan

θ = -47.35° or 312.65°