find the sum of two vector A and B A=5m angle 60 B=6m angle 130?

VPETERS2002

5 years ago

Resolve the two vectors into their components. For the first vector, apply the equation vx = v cos theta to find the x coordinate. That’s 5.0 cos 60 degrees = 2.5.

Apply the equation vy = v sin theta to find the y coordinate of the first vector. That’s 5.0 sin 60 degrees, or 4.3. So the first vector is (2.5, 4.3) in coordinate form.


For the second vector, apply the equation vx = v cos theta to find the x coordinate. That’s 6.0 cos 130 degrees = -3.8.

Apply the equation vy = v sin theta to find the y coordinate of the second vector. That’s 6.0 sin 130 degrees = 4.6. So the second vector is (-3.8, 4.6) in coordinate form.


To add the two vectors, add them in coordinate form: (2.5, 4.3) + (-3.8, 4.6) = (9.2, 7.5).
note: x1 + x2 and y1 + y2
= 2.5 + (-3.8) and 4.3+4.6
=-1.3 and 8.9 (answer)