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 ax= 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.

FA = 3 Nt x + 5 Nt y FB =-2 Nt x + 3 Nt y FC = 4 Nt x - 6 Nt y

Find 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.