Write each vector in component form 1.) cd where c= (-2,1) d=(7,10) 2.) rs where r=(-4,1) s=(-4,-3)

Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)



Explanation:

To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head

In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)

Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D

Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S