Magnitude and Direction of Vectors

Find the direction and magnitude of the resultant vector for the drawing of two forces.

• Direction 75.0°
  Magnitude 221.8mph

• Direction 41.9°
  Magnitude 233.3mph

• Direction 48.1°
  Magnitude 233.3mph

• Direction 57.2°
  Magnitude 238.6mph

Find the direction and magnitude of the resultant vector for the drawing of two forces.

• Direction 90°
  Magnitude 139.0N

• Direction 52.3°
  Magnitude 195N

• Direction 52.3°
  Magnitude 139.0N

• Direction 37.7°
  Magnitude 139.0N

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal.  Find the initial vertical and horizontal velocity of the ball.

• Horizontal 18.9
   Vertical 7.2

• Horizontal 7.2
   Vertical 18.9

• Horizontal 15.2
   Vertical 9.6

• Horizontal 9.6
   Vertical 15.2

Vectors are equivalent if they have the same magnitude and direction. Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b

• 
• 

All the vectors shown are equal, except for

The diagram below shows two position vectors OA and OB. OA as a column vector is

• 
• 
• 
• 

• p + q

• p - q

• q - p

• 2q

• p + q

• p - q

• 2q

• q - p 

Two vectors who have the same or opposite direction.

• Parallel vectors

• Equivalent vectors

• Opposite vectors