Vector Basics: Magnitude, Components, Direction

A vector has both a _____________ and a _______________.

• magnitude and latitude

• direction and purpose

• magnitude and direction

Tags

CCSS.HSN.VM.A.1

The component form of a vector is written using

• pointy brackets < , >

• parentheses ( , )

• squiggly brackets { , }

Tags

CCSS.HSN.VM.A.2

The component form of a vector describes:

• the horizontal and vertical change of the vector

• the slope of a vector

• where it starts on your graph

What is the horizontal component of < 5, 2>

• 5

• 2

• 7

If a vector has direction 40 degrees West of North, what quadrant would it lie in?

• Quadrant 1

• Quadrant 2

• Quadrant 3

The direction of this vector is

• 30 degrees east of north

• 30 degrees south of west

• 20 degrees north of east

Using scalar multiplication, find

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

• <7, 9>

• <10, 20>

• <-3, -1>

What is the direction of this vector?

• north of east

• south of north

• east of south

Describe the direction of this vector.

• 33 degrees east of south

• 33 degrees west of north

• 33 degrees east of north

Add

 $<5,\ -2>+<-4,\ 8>$  

•  $<-9,\ 10>$  

•  $<3,\ 4>$  

•  $<1,\ 6>$