Is Addition Distributive Over the Dot Product in Vector Calculations?

[amy098yay]

Homework Statement

Verify using an example that a(b+c) is not equal to ab+ac. (This means that addition does not distribute over the dot product.)

Vector A be in the y direction (Ax=0 , Ay=1 , Az = 0)
Vector B be in the x direction (Bx=1 , By=0 , Bz = 0)

so, Vector A×B components:

x = Ay * Bz - By * Az = 0
y = Az * Bx - Bz * Ax = 0
z = Ax * By - Bx * Ay = -1

so,

AxB = (0 , 0 , -1)

would this work?

Homework Equations

The Attempt at a Solution

 

[Mark44]

Please don't start new threads when you have another thread open on the same problem.