Vectors and Trig Form of Complex Numbers

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

• √11
• 13
• √-4
• √13

Tags

CCSS.HSN.VM.A.1

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

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

Tags

CCSS.HSN.VM.A.1

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

• 1
• <3, -4>
• <4, 0>
• -1

Tags

CCSS.HSN.VM.A.1

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Tags

CCSS.HSF.TF.B.7

CCSS.HSN.VM.A.1

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.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

CCSS.HSN.VM.A.1

Find the angle between u and v.

• 78.930^o
• 33.691^o
• 101.070^o
• 146.310^o

Tags

CCSS.HSN.VM.A.1

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

Tags

CCSS.HSN.VM.A.2

 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

Tags

CCSS.HSN.VM.A.1

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

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

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Write the complex number in polar form

• √50 (cos π/2 + i sin π/2)
• 50 (cos π/4 + i sin π/4)
• √50 (cos 5π/4 + i sin 5π/4)
• √50 (cos π/4 + i sin π/4)