3D Vector Review

3D Vector Review

LET'S DO THIS.

For the following slides, you will be given one topic at a time. There will be a short answer question for review, an example, and practice problems for each topic.

Enter answer on next slide

Open Ended

In your own words, explain what the cross product is

Multiple Choice

Calculate the cross product of <1, -2, 1> and <2, -1,1>

• 5

• 3

• < -1, -1, 3>

• < -1, 1, 3>

Multiple Choice

Find the cross product of <3,4,7> and <4,9,2>.

• <-55, 22, 11>

• <-55, -22, -9>>

• <71,34, 63>

• <-71, -34, -63>

Multiple Choice

• <1, 8, 11>

• <8, 10, 11>

• <1, 10, -1>

• <-1, 2, 3>

Enter answer on next slide

Open Ended

Explain what the dot product is. Give an example

Multiple Choice

If $\overrightarrow{\ \ a}=<3,\ 5,\ 1>\ and\ \overrightarrow{\ \ b}=<2,\ 1,\ 3>\ then\ \overrightarrow{\ \ a}\ .\overrightarrow{\ \ b}=$  

• 41

• 12

• 21

• 14

Multiple Choice

If y = <2, 0, 1> and

z = <-1, -4, 2>, find 3y - 2z.

• <5, -8, 1>

• <4, 8, -1>

• <8, 8, -1>

• <-8, -8, 1>

Multiple Choice

If c=<-5, 4, 0> and d=<8, 0, -3>, calculate 2c+d

• <-2, 8, -3>

• <-2, 0, 5>

• <6, 8, -3>

• <6, 0, 5>

Enter answer on next slide

Open Ended

What is the difference between component form and magnitude?

Multiple Choice

Find the component form of a vector whose initial point is (5, 7, 3) and terminal point is (1, 10, 0)

• <-4, 3, -3>

• <4, -3, 3>

• 5

• <6, 17, 3>

Multiple Choice

Find the component form of vector AB with initial point A(0, 8, -10) and terminal point B(-9, -3, 2)

• <-9, 5, 12>

• <-9, 11, -12>

• <-9, -11, 12>

• <-9, 5, -12>

Multiple Choice

Which picture represents vector

 $\overrightarrow{D}=\left(1,\ 1,\ -1\right)$  

Multiple Choice

which picture represents correctly the point (-1, -1, -1)

Multiple Choice

#8 What are the coordinates of the point shown in the picture.

• ( 2, -4, 3 )

• ( 2, -3, 3 )

• ( 3, -4, 2 )

• (-3, -4, 2 )