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Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

If v=<-3,4> $\displaystyle v=< -3,4>$, and w=<2,3> $\displaystyle w=< 2,3>$, what is v-w $\displaystyle v-w$?

v-w=<-5,-1> $\displaystyle v-w=< -5,-1>$

v-w=<5,1> $\displaystyle v-w=< 5,1>$

v-w=<-5,1> $\displaystyle v-w=< -5,1>$

v-w=<5,-1> $\displaystyle v-w=< 5,-1>$

v-w=<1,-5> $\displaystyle v-w=< 1,-5>$

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Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

If v=<-3,4> $\displaystyle v=< -3,4>$, and w=<2,3> $\displaystyle w=< 2,3>$, what is v-w $\displaystyle v-w$?

v-w=<-5,-1> $\displaystyle v-w=< -5,-1>$

v-w=<5,1> $\displaystyle v-w=< 5,1>$

v-w=<-5,1> $\displaystyle v-w=< -5,1>$

v-w=<5,-1> $\displaystyle v-w=< 5,-1>$

v-w=<1,-5> $\displaystyle v-w=< 1,-5>$

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Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

If v=<-3,4> $\displaystyle v=< -3,4>$, and w=<2,3> $\displaystyle w=< 2,3>$, what is v-w $\displaystyle v-w$?

Your answer:

v-w=<-5,-1> $\displaystyle v-w=< -5,-1>$

Your answer:

v-w=<5,1> $\displaystyle v-w=< 5,1>$

Your answer:

v-w=<5,-1> $\displaystyle v-w=< 5,-1>$

Your answer:

v-w=<1,-5> $\displaystyle v-w=< 1,-5>$

Correct answer:

v-w=<-5,1> $\displaystyle v-w=< -5,1>$

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$ $\displaystyle x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$ $\displaystyle y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-3$ $\displaystyle (x\: \mbox{component in}\: v)=-3$

$(x\:\mbox{component in}\: w)=2$ $\displaystyle (x\:\mbox{component in}\: w)=2$

$(y\: \mbox{component in}\: v)=4$ $\displaystyle (y\: \mbox{component in}\: v)=4$

$(y\: \mbox{component in}\: w)=3$ $\displaystyle (y\: \mbox{component in}\: w)=3$

$\displaystyle x=-3-2=-5$

y=4-3=1 $\displaystyle y=4-3=1$

So our final answer is <-5,1> $\displaystyle < -5,1>$.

Below is a visual representation.

Vecsub

Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

If v=<4,-2> $\displaystyle v=< 4,-2>$, and w=<4,3> $\displaystyle w=< 4,3>$, what is v-w $\displaystyle v-w$?

v-w=<5,0> $\displaystyle v-w=< 5,0>$

v-w=<0,5> $\displaystyle v-w=< 0,5>$

v-w=<0,-5> $\displaystyle v-w=< 0,-5>$

v-w=<-5,0> $\displaystyle v-w=< -5,0>$

v-w=<8,1> $\displaystyle v-w=< 8,1>$

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Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

If v=<4,-2> $\displaystyle v=< 4,-2>$, and w=<4,3> $\displaystyle w=< 4,3>$, what is v-w $\displaystyle v-w$?

Your answer:

v-w=<5,0> $\displaystyle v-w=< 5,0>$

Your answer:

v-w=<0,5> $\displaystyle v-w=< 0,5>$

Your answer:

v-w=<-5,0> $\displaystyle v-w=< -5,0>$

Your answer:

v-w=<8,1> $\displaystyle v-w=< 8,1>$

Correct answer:

v-w=<0,-5> $\displaystyle v-w=< 0,-5>$

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$ $\displaystyle x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$ $\displaystyle y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=4$ $\displaystyle (x\: \mbox{component in}\: v)=4$

$(x\:\mbox{component in}\: w)=4$ $\displaystyle (x\:\mbox{component in}\: w)=4$

$(y\: \mbox{component in}\: v)=-2$ $\displaystyle (y\: \mbox{component in}\: v)=-2$

$(y\: \mbox{component in}\: w)=3$ $\displaystyle (y\: \mbox{component in}\: w)=3$

x=4-4=0 $\displaystyle x=4-4=0$

$\displaystyle y=-2-3=-5$

So our final answer is <0,-5> $\displaystyle < 0,-5>$.

Below is a visual representation.

Screen shot 2016 03 08 at 9.31.39 am

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Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

All Common Core: High School - Number and Quantity Resources

Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

Flashcards: Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

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