EXAMPLE 6 :If P º (8,2) and Q º (-3,4), Find
Solution: P º (8,2) and Q º (-3,4)
EXAMPLE 7 : A force of 30 N and a force of 10 N act on an object at an angle of
500 with respect to each other. What is the magnitude of the resultant force and what angle does the resultant
force form with the force of 30N?
Let F1 be the first Force , |
F1 | = 30N
Let F2 be the second force, |
F2 | = 10N
Let the angle between the two forces be a, and q be the angle between the force F1 and the resultant force F. Given that a = 500
Using the cosine Law, F2= F1
2 + F2 2 -
2F1 . F2 cos 1300
Thus the magnitude of the resultant is |F| = 37.225N and the resultant force F makes an angle of 11.880 with the force of 30N.