Vectors

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

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉
• 〈-6,3〉
• 〈10,11〉
• 〈-6,-3〉

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

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

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

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>

What is the sum of multiple vectors called?

• Scalar

• Vector Combination

• Resultant Vector

• Force

Write the vector from B to C...

• r + s

• -r + s

• s + r

• -s - r