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Common Core: High School - Number and Quantity : Vector Components: CCSS.Math.Content.HSN-VM.A.2

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Example Questions

Example Question #11 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (-6,10) , and an initial point of (-9,11) ?

Possible Answers:

<1,-5>

<3,-1>

<-1,3>

<-16,-20>

<-17,19>

Correct answer:

<3,-1>

Explanation:

In order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=-6 \\ \mbox{(x in initial point)}=-9 \\ \mbox{(y in terminal point)}=10\\ \mbox{(y in initial point)}= 11$

x=-6-(-9)=-6+9=3

y=10-11=-1

To write this in component form, we need to put our , and into .

So the final answer is <3,-1>

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 1.33.55 pm

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Example Question #12 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (1,3) , and an initial point of (3,1) ?

Possible Answers:

<-2,2>

<2,-2>

<2,2>

<-2,-2>

<-2,0>

Correct answer:

<-2,2>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=1 \\ \mbox{(x in initial point)}=3 \\ \mbox{(y in terminal point)}=3\\ \mbox{(y in initial point)}= 1$

x=1-3=-2

y=3-1=2

To write this in component form, we need to put our , and into .

So the final answer is <-2,2>

Below is a visual representation of what we just did.

Comp3

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Common Core: High School - Number and Quantity : Vector Components: CCSS.Math.Content.HSN-VM.A.2

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #11 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #12 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

All Common Core: High School - Number and Quantity Resources

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