Polar/rectangular and vector components/mag&dir

Which are the two equations we use for converting from polar to rectangular?

• $x=r\cos\theta$

• $x=v\sin\theta$

• $y=r\sin\theta$

• $y=vt\cos\theta$

Tags

CCSS.HSN.CN.B.4

To change from (x,y) form to  $\left(r,\ \theta\right)$  form or rectangular to polar you need to know which two facts? (select 2)

•  $r\ comes\ from\ x^2+y^2=r^2$  

•  $r\ comes\ from\ r\ =\ \tan\theta$  

•  $\theta\ comes\ from\ \cos^2\theta\ +\sin^2\theta\ =\ 1$  

•  $\theta\ comes\ from\ \tan\theta=\frac{y}{x}$  

Tags

CCSS.HSN.CN.B.4

Which point represents (2, π/6)

• F

• E

• B

• A

Tags

CCSS.HSN.CN.B.4

Although every point has multiple coordinates that can locate it, which of the following illustrates one such set of  coordinates of the point?

• $\left(4,\ -\frac{3\pi}{4}\right)$

• $\left(-4,\ \frac{\pi}{4}\right)$

• $\left(-4,\ -\frac{3\pi}{4}\right)$

• $\left(4,\ -\frac{\pi}{4}\right)$

Tags

CCSS.HSN.CN.B.4

Convert from polar coordinates,  (5, 50°) to rectangular coordinates.

• (-1.3, -3.8)
• (3.2, 3.8)
• (4.8, -1.3)
• (3.8, 3.2)

Tags

CCSS.HSN.CN.B.4

The component form of a vector is written using

• pointy brackets < , >

• parentheses ( , )

• squiggly brackets { , }

Tags

CCSS.HSN.VM.A.2

What is the horizontal component of < 5, 2>

• 5

• 2

• $\sqrt{29}$

Tags

CCSS.HSN.VM.A.1

If a vector has direction 40 degrees West of North, what would the angle be from standard position?

• $140\degree$

• $130\degree$

• $220\degree$
  

• $230\degree$

Using scalar multiplication, find

 $5\overrightarrow{u}$  if  $\overrightarrow{u}=<2,\ 4>$  

• <7, 9>

• <10, 20>

• <-3, -1>

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

Add

 $<5,\ -2>+<-4,\ 8>$  

•  $<-9,\ 10>$  

•  $<3,\ 4>$  

•  $<1,\ 6>$  

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B