Vectors Review

Find the direction angle for the vector <2, 7>

• 74.05°
• 15.95°
• 195.94°
• 97.28°

Find the magnitude of the vector <10, -8>

• 2
• 12.81
• 6
• 18

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

• <21, 2>
• <-19, -13>
• <-15, 3>
• 23

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6
• 8.2
• 10
• 10.4

Tags

CCSS.HSN.VM.A.1

How do we find the dot product of two vectors?

• Add the first components and then multiply the second components.

• Multiply the first components and then add the product of the second components.

• Multiply the first components and multiply the second components.

• Take the square root of the sum of each component's square.

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

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6
• 8.2
• 10
• 10.4

Find the direction of vector <6,5>.

• 219⁰
• 39⁰
• 129⁰
• 309⁰

Find the ϴ between the vectors a = i + j and b = -2i + 3j. 

• 180
• 11.31
• 78.69
• 71.57