If vx = 7.50 units and vy = - 6.10 units, determine (a) the magnitude and (b) direction of v⃗.

The magnitude of a vector is defined as the square root of its components squared.

We have then that the magnitude is:

v = root ((7.50) ^ 2 + ( - 6.10) ^ 2)

v = 9.67 units

The direction of the vector is:

x = Atan (vy / vx)

x = Atan (( - 6.10) / (7.50))

x = - 39.12 degrees (measured from the x axis)

answer:

v = 9.67 units

x = - 39.12 degrees (measured from the x axis)