If the initial point of a vector V is (-1,2) and the terminal point of vector V is (-4,5) then the component form of the vector is

The components form of the vector is:

V = [-3,3]

Step-by-step explanation:

The initial point is V(i) = (-1,2) and the final point V(f) = (-4,5). If we want to get the components form, we just need to subtract each component of the points.

a = -4-(-1) = -4+1 = -3

b = 5-2 = 5-2 = 3

a represents the x-componet and b the y-component of the vector.

Therefore, the components form of the vector is:

V = [a,b]

V = [-3,3]

I hope it helps you!

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2