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 [math](1,-3)[/math] and a terminal point of [math](6,19)[/math]?
  1. [math]<<-5, -22>>[/math]
  2. [math]<<5, 22>>[/math]
  3. [math]<<3, 20>>[/math]
  4. [math]<<-2, 25>>[/math]
2. 
What are the components of a vector that has an initial point of [math](-1,3)[/math] and a terminal point of [math](8,11)[/math]?
  1. [math]<< 9, 8 >>[/math]
  2. [math]<< 7, 14 >>[/math]
  3. [math]<< 2, 19 >>[/math]
  4. [math]<< -9, -8 >>[/math]
3. 
What are the components of a vector that has an initial point of [math](105,-302)[/math] and a terminal point of [math](823,119)[/math]?
  1. [math]<< 942, -197 >>[/math]
  2. [math]<< 928, -183 >>[/math]
  3. [math]<< 718, -183 >>[/math]
  4. [math]<< 718, 421 >>[/math]
4. 
Use the plot for the following questions.
Coordinate Plane - 5x5 - With Dots
A. 
What are the components of [math]vec{LI} ?[/math]
  1. [math]<<-8,-7[/math]
  2. [math]<<8,7>>[/math]
  3. [math]<<0,1>>[/math]
  4. [math]<<0,-1>>[/math]
B. 
What are the components of [math]vec{CH} ?[/math]
  1. [math]<<-4,0>>[/math]
  2. [math]<<4,0>>[/math]
  3. [math]<<-4,1>>[/math]
  4. [math]<<-4,4>>[/math]
C. 
What are the components of [math]vec{KD} ?[/math]
  1. [math]<<-1,-7>>[/math]
  2. [math]<<1,-7>>[/math]
  3. [math]<<-5,-1>>[/math]
  4. [math]<<5,1>>[/math]
5. 
A vector that has an initial point of [math](15,-32)[/math] and components of [math]<<-7,-13>>[/math]. What are the coordinates of the terminal point?
  1. [math](-7,-13)[/math]
  2. [math](8,-45)[/math]
  3. [math](23,-19)[/math]
  4. [math](-15,32)[/math]
6. 
A vector that has an initial point of [math](-4,8)[/math] and components of [math] <<5,-9>> [/math]. What are the coordinates of the terminal point?
  1. [math](1,-1)[/math]
  2. [math](9,17)[/math]
  3. [math](12,14)[/math]
  4. [math](-1,1)[/math]
7. 
Vector [math]vecg[/math] has initial and terminal points [math](-5,-4)[/math] and [math](7,13)[/math] respectively. If vector [math]vech[/math] has its initial point at [math](6,15)[/math], what are the coordinates of its terminal point, such that the two vectors are equivalent?
  1. [math](1,11)[/math]
  2. [math](-1,2)[/math]
  3. [math](18,32)[/math]
  4. [math](13,27)[/math]
8. 
Vector [math]vecg[/math] has initial and terminal points [math](7,-4)[/math] and [math](-12,13)[/math] respectively. If vector [math]vech[/math] has its initial point at [math](-18,6)[/math] what are the coordinates of its terminal point, such that the two vectors are equivalent?
  1. [math](-37,21)[/math]
  2. [math](11,10)[/math]
  3. [math](6,7)[/math]
  4. [math](30,19)[/math]

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