Dot Product
Page 28
Problem 18 from Vector Calculus by Susan Colley
1. a b = b a.
Proof:
Let a = (a1 , a2 , . . . , an ), b = (b1 , b2 , . . . , bn ) Rn .
ab =
(a1 , a2 , . . . , an ) (b1 , b2 , . . .
Project 1
1. Vector Calculus page 77 problem 1
Let P0 , P1 , . . . , Pk1 be the vertices of a regular polygon having k sides. Let O be the center of the polygon.
k1
Show that i=0 OPi = 0.
Remember tha
Assignment 3
1. Vector Calculus page 133 problem 32
Find any planes tangent to the curve z = x2 6x + y 3 that are parallel to the plane 4x 12y + z = 7.
The tangent plane to a curve f : R2 R at a point