Magnitude Direction Vectors

Find the angle between u and v.

• 78.930^o

• 33.691^o

• 101.070^o

• 146.310^o

Find the unit vector in the direction of <4, -3>

• <⅘, -⅗>

• <0.57, -0.43>

• <1, -1>

• -¾

Find the angle between vectors <1,3> and <2,-5>.

• 40.24°

• 49.76°

• 139.76°

• 92.57°

How do you know if two vectors are orthogonal?

• Their sum is 0.

• The dot product is 1.

• The angle between them is 0°.

• The dot product is 0.

Find the unit vector in the same direction as v.

• <0.385, 0.923>

• <-0.832, 0.555>

• <5/13, 12/13>

• <-5/13, -12/13>

Given the magnitude & direction of the resultant, find the horizontal & vertical components.

• Horizontal 63.9
   Vertical 44.7

• Horizontal 7.3
   Vertical 34.2

• Horizontal -63.9
   Vertical 44.7

• Horizontal -7.3
   Vertical 34.2

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

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

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

• Horizontal -403.6
   Vertical 123.4

• Horizontal 123.4
  Vertical -403.6

• Horizontal 123.4
  Vertical 403.6

• Horizontal -123.4 
  Vertical -403.6

An airplane flying due south (270°)  485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

• Direction 267.0°
  Magnitude 485.6mph

• Direction 93.0°
  Magnitude 485.6mph

• Direction 237.0°
  Magnitude 485.6mph

• Direction 87.0°
  Magnitude 510.0mph