Vectors
Use graph paper and ruler where needed.
# 1-3 Use A = 3 i + 4 j , B = -2 i + 6 j and C = 4 i + 7 j .
1. Use the head-tail method to find the magnitude and direction of the resultant of
A + B .
2. Use the head-tail method to find the magnitude and direction of the resultant of
A - C .
3. Use components to find the magnitude and direction of the resultant of A + B + C in rectangular coordinates. Convert your answer to polar coordinates.
4. The acceleration of a ball is given by a
x= 5 m/s2 in the x-direction and ay = 7 m/s2 in the y-direction. Find the magnitude and direction of the total acceleration.
5. Three forces meet at a particular point.
F
A = 3 Nt x + 5 Nt y FB =-2 Nt x + 3 Nt y FC = 4 Nt x - 6 Nt yFind the magnitude and direction of the total force.
6. Three forces act on the block below. Find the magnitude and direction of the total force.