Vectors

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 component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

• <-4, 3>
• <4, -3>
• 5
• <6, 17>

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

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Find the magnitude of the vector <-5, 12>

• 13
• 10.91
• 7
• 17

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Find the direction angle for the vector <5, -2>

• 338.20°
• 21.80°
• 291.80°
• 68.2°

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSN.VM.A.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

Tags

CCSS.HSN.VM.A.1

What is the magnitude of the vector 4i + 3j ?

• (4, 3)

• 7

• 5

• 25

a = <-7, -8>. Write the vector as a linear combination of the unit vectors i, and j.

• -7i - 8j

• <-7i, -8j>

• -8i -7j

• -15ij

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

• 1
• <3, -4>
• <4, 0>
• -1