3-D

This week we learn a lot of matrices and vectors. But this section is 3-D aka the hardest section.

|AB| = square root (x2-x1)2 + (y2-y1)2 + (z2+z1)2

Midpoint = (x1 + x2/2) (y1 + y2/2) (z1 + z2/2)

Equation of a Sphere = (x-xo)2 + (y-yo)2 + (z-zo)2 = r2

Vector equation (x,y,z) = (xo, yo, zo) + t(a,b,c)

Vector addition, magnitude, dot product, etc. all follow the same formula with extra variable.

Example: point 8,-2, 3 and 4, 0, 7

Find center = (6,-1,5)

Radius square root (4-8)^2+(0+2)^2(7-3)^2=16+4+16 = square root of 36= 6

Equation = (x-6)^2+(y+1)^2+(2-5)^2=9^2


Basically if you know your formulas you will do pretty good at this section if not you will do horrible at this section.