PCH January End of Term Quiz #3

Find the magnitude.

• 5

• 3

• 25

• -4

Tags

CCSS.HSN.VM.A.1

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

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 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 x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3

Tags

CCSS.HSA.REI.C.8

Which point represents the polar coordinate
(-4, -2π/3)?

• B
• F
• D
• A

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.4

Find the rectangular coordinates of each polar point. (4, 3π/2)

• (4,4)

• (4,0)

• (0,-4)

• (0,1)

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Convert the rectangular coordinates to polar coordinates
(6√3, 6)

• (12, π/6)
• (6, 7π/6)
• (6, π/6)
• (12, 7π/6)

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

CCSS.HSN.CN.B.4

Convert the rectangular equation to polar form.
 $\left(x-3\right)^2+y^2=9$  

•  $r=6\cos\theta$  

•  $r=-2\cos\theta+6\sin\theta$  

•  $r=6\cos\theta+2\sin\theta$  

•  $r=-6\sin\theta$  

Tags

CCSS.HSG.GPE.A.1

Convert the polar equation to rectangular form.
 $r=-4\sin\theta$ 

•  $\left(x-2\right)^2+\left(y-1\right)^2=5$ 

•  $\left(x-1\right)^2+\left(y-3\right)^2=10$ 

•  $\left(x+1\right)^2+\left(y-2\right)^2=5$ 

•  $x^2+\left(y+2\right)^2=4$ 

Tags

CCSS.HSN.CN.B.4