STEP 1: What would this situation look like? (warning, the drawing is only a sketch!)

STEP 2:Get the X and Y coordinates for each vector...

Ax = 10cos120 = -5 units
Ay = 10sin120 = 8.66 units

Bx = 22cos340 = 20.67 units
By = 22sin340 = -7.52

STEP 3: Add the X's and the Y's to make the resultant (or in this case we call it "C")

Cx = -5 + 20.67 = 15.67 units
Cy = 8.66 + -7.52 = 1.14 units

STEP 4: Use the Pythagorean Theorem to find the length of the resultant...

C = sqrt(15.67² + 1.14²) = 15.7 units long

At what angle is C ?

Use the tangent function, q = 1/tan(opp/adj) = 1/tan(1.14/15.67) = 4.2°

So the vector C would look like this...

Login to Lecture OnLine. In the 2D motion chapter, solve: Resultant Vector AND 2D acceleration.

If you haven't seen them yet, there are two great programs for adding vectors located on links from these two pages... (#1, #2).