SOLUTION: Write the vector shown in component form. (Assume that each point lies on the grid lines and that each grid line is spaced one unit apart.) https://www.webassign.net/waplots/3/9/8

Algebra ->  Trigonometry-basics -> SOLUTION: Write the vector shown in component form. (Assume that each point lies on the grid lines and that each grid line is spaced one unit apart.) https://www.webassign.net/waplots/3/9/8      Log On


   



Question 1204902: Write the vector shown in component form. (Assume that each point lies on the grid lines and that each grid line is spaced one unit apart.)
https://www.webassign.net/waplots/3/9/86b0b2af0667d6166de60c0af78076.gif

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1:
Find the horizontal displacement v%5Bx%5D=x%5B2%5D-x%5B1%5D , where x%5B2%5D+is the x-coordinate of the terminal point and x%5B1%5D is the x-coordinate of the initial point.
Step 2:
Find the vertical displacement v%5By%5D=y%5B2%5D-y%5B1%5D, where y%5B2%5D is the+y-coordinate of the terminal point and +y%5B1%5D is the y-coordinate of the initial point.

Step 3:
Write the component form of the vector as
.
v=< v%5Bx%5D, v%5By%5D+>

from the graph we see that

initial point is at (9,1)
terminal point is at (2,6)
v%5Bx%5D=2-9=-7
v%5By%5D=6-1=5
the vector shown in component form is:
v=< -7, 5 >