Practice Multiplying Vectors
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
+1
Standards-aligned
KYLA NAULT
Used 2+ times
FREE Resource
5 Slides • 13 Questions
1
2
Fill in the Blanks
If vector X is <2,-3>
Find 2X
Be sure that your answer is in the format <_,_> That is, include the <> and the comma and do not use any spaces
Type answer...
3
Fill in the Blanks
If Vector Y is <-1,-6>
find -3Y
Be sure that your answer is in the format <_,_> That is, include the <> and the comma and do not use any spaces
Type answer...
4
Fill in the Blanks
If vector Z is <0,5>
Find -Z
Be sure that your answer is in the format <_,_> That is, include the <> and the comma and do not use any spaces
Type answer...
5
Fill in the Blanks
If vector W is <-10,8>
Find 5W
Be sure that your answer is in the format <_,_> That is, include the <> and the comma and do not use any spaces
Type answer...
6
Fill in the Blanks
If vector V is <4,5>
find -2V
Be sure that your answer is in the format <_,_> That is, include the <> and the comma and do not use any spaces
Type answer...
7
Reminder for Dot Product
8
Math Response
Find the dot product of these vectors
<9,6>
<5,3>
9
Math Response
Find the dot product
X <-1,5>
Y <-6,-2>
10
Math Response
Find the Dot Product of these two vectors
A <-7,-9>
B <8,4>
11
Math Response
Find the dot product
<-2,2>
<8,-1>
12
What about vectors in 3D?
Vectors in 3D don't just have an x and y component, they also have a z. Think of x as left to right, y is up and down, and z is your depth (forward and backwards)
13
Scalar Multiplication in
To do Scalar multiplication for 3D vectors, you "distribute" the scalar across all 3 values
Imagine that vector A is <3,-2,4>
3A would be <9,-6,12>
14
Fill in the Blanks
If Vector B is <1,0,-5>
Find 2B
Be sure that your answer is in the format <_,._,_> That is, include the <> and the comma and do not use any spaces
Type answer...
15
Fill in the Blanks
If vector C is <-2,-5,8>
Find -3C
Be sure that your answer is in the format <_,._,_> That is, include the <> and the comma and do not use any spaces
Type answer...
16
Dot Product of a 3D vector
The dot product of a 3D vector is found similarly to a vector in 2D space.
1. multiply the x values
2. multiply the y values
3. multiply the z values
4. add all the products
Imagine finding the dot product of the vectors
A <1,5,-2> and B <2,-3,4>
(1*2) + (5*-3) + (-2*4)
2 + -15 + -8 = -21
17
Math Response
Find the dot product of
<2,2,-4>
<0,3,-7>
18
Math Response
Find the dot product
<0,-5,9>
<1,0,-6>
Show answer
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