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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=1 \\ \mbox{(x in initial point)}=-6 \\ \mbox{(y in terminal point)}=1\\ \mbox{(y in initial point)}= -9\)

\(\displaystyle x=1-(-6)=1+6=7\)

\(\displaystyle y=1-(-9)=1+9=10\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < 7,10>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=-9 \\ \mbox{(x in initial point)}=2 \\ \mbox{(y in terminal point)}=1\\ \mbox{(y in initial point)}= -10\)

\(\displaystyle x=-9-5=-14\)

\(\displaystyle y=1-(-10)=1+10=11\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < -14,11>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=3 \\ \mbox{(x in initial point)}=6 \\ \mbox{(y in terminal point)}=-8\\ \mbox{(y in initial point)}= -13\)

\(\displaystyle x=3-6=-3\)

\(\displaystyle y=-8-(-13)=-8+13=5\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < -3,5>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=-1 \\ \mbox{(x in initial point)}=-4 \\ \mbox{(y in terminal point)}=-5\\ \mbox{(y in initial point)}= -9\)

\(\displaystyle x=-1-(-4)=-1+4=3\)

\(\displaystyle y=-5-(-9)=-5+9=4\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < 3,4>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=-3 \\ \mbox{(x in initial point)}=-4 \\ \mbox{(y in terminal point)}=10\\ \mbox{(y in initial point)}=12\)

\(\displaystyle x=-3-(-4)=-3+4=1\)

\(\displaystyle y=10-12=-2\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < 1,-2>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=1 \\ \mbox{(x in initial point)}=-7 \\ \mbox{(y in terminal point)}=9\\ \mbox{(y in initial point)}= 5\)

\(\displaystyle x=1-(-7)=1+7=8\)

\(\displaystyle y=9-5=4\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < 8,4>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=4 \\ \mbox{(x in initial point)}=0 \\ \mbox{(y in terminal point)}=6\\ \mbox{(y in initial point)}= -8\)

\(\displaystyle x=4-0=4\)

\(\displaystyle y=6-(-8)=6+8=14\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < 4,14>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

\(\displaystyle \\ \mbox{(x in terminal point)}=3 \\ \mbox{(x in initial point)}=10 \\ \mbox{(y in terminal point)}=-6\\ \mbox{(y in initial point)}=5\)

\(\displaystyle x=3-10=-7\)

\(\displaystyle y=-6-5=-11\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < -7,-11>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

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

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

\(\displaystyle y=10-11=-1\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < 3,-1>\)

Below is a visual representation of what we just did.

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. 

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

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

Now lets identify what these values are.

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

\(\displaystyle x=1-3=-2\)

\(\displaystyle y=3-1=2\)

To write this in component form, we need to put our \(\displaystyle x\), and \(\displaystyle y\) into \(\displaystyle < >\).

So the final answer is \(\displaystyle < -2,2>\)

Below is a visual representation of what we just did.