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This printable supports Common Core Mathematics Standard HSN-VM.A.2

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# Finding Vector Components (Grades 11-12)

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## Finding Vector Components

1.
What are the components of a vector that has an initial point of $(1,-3)$ and a terminal point of $(6,19)$?
1. $<<-5, -22>>$
2. $<<5, 22>>$
3. $<<3, 20>>$
4. $<<-2, 25>>$
2.
What are the components of a vector that has an initial point of $(-1,3)$ and a terminal point of $(8,11)$?
1. $<< 9, 8 >>$
2. $<< 7, 14 >>$
3. $<< 2, 19 >>$
4. $<< -9, -8 >>$
3.
What are the components of a vector that has an initial point of $(105,-302)$ and a terminal point of $(823,119)$?
1. $<< 942, -197 >>$
2. $<< 928, -183 >>$
3. $<< 718, -183 >>$
4. $<< 718, 421 >>$
4.
Use the plot for the following questions.
A.
What are the components of $vec{LI} ?$
1. $<<-8,-7$
2. $<<8,7>>$
3. $<<0,1>>$
4. $<<0,-1>>$
B.
What are the components of $vec{CH} ?$
1. $<<-4,0>>$
2. $<<4,0>>$
3. $<<-4,1>>$
4. $<<-4,4>>$
C.
What are the components of $vec{KD} ?$
1. $<<-1,-7>>$
2. $<<1,-7>>$
3. $<<-5,-1>>$
4. $<<5,1>>$
5.
A vector that has an initial point of $(15,-32)$ and components of $<<-7,-13>>$. What are the coordinates of the terminal point?
1. $(-7,-13)$
2. $(8,-45)$
3. $(23,-19)$
4. $(-15,32)$
6.
A vector that has an initial point of $(-4,8)$ and components of $<<5,-9>>$. What are the coordinates of the terminal point?
1. $(1,-1)$
2. $(9,17)$
3. $(12,14)$
4. $(-1,1)$
7.
Vector $vecg$ has initial and terminal points $(-5,-4)$ and $(7,13)$ respectively. If vector $vech$ has its initial point at $(6,15)$, what are the coordinates of its terminal point, such that the two vectors are equivalent?
1. $(1,11)$
2. $(-1,2)$
3. $(18,32)$
4. $(13,27)$
8.
Vector $vecg$ has initial and terminal points $(7,-4)$ and $(-12,13)$ respectively. If vector $vech$ has its initial point at $(-18,6)$ what are the coordinates of its terminal point, such that the two vectors are equivalent?
1. $(-37,21)$
2. $(11,10)$
3. $(6,7)$
4. $(30,19)$
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