Vectors

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

Find the magnitude of the vector <2, -3>.

• √11
• 13
• √-4
• √13

Find the direction of the vector <-3, -5>.

• 59.03°
• 239.03°
• 210.96°
• 120.96°

Find the dot product of <1, -2> and <3, 2>.

• 1
• <3, -4>
• <4, 0>
• -1

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

 Determine the direction and magnitude of the vector 〈-11,5〉

• Direction 24.4°
  Vertical 12.1
• Direction65.6°
  Magnitude 12.1
• Direction -24.4°
  Magnitude 12.1
• Direction 155.6°
  Magnitude 12.1

Determine the direction and magnitude of the vector 〈7,18〉

• Direction 21.3°
  Magnitude 19.3
• Direction 68.7°
  Magnitude 19.3
• Direction 21.3°
  Magnitude 373
• Direction 68.7°
  Magnitude 373

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Determine the components of the vector:

• <5, 8.7>

• <8.7, 5>

• <59.1, 10.4>

• <10.4, 59.1>

2 forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant.

• 5408.2

• 26.3

• 689.8

• 73.5