Is the result of u × u   =   0   perpendicular to both operands?

A good answer might be:

Yes, because 0 · u   =   0, which means that they are perpendicular.


More Math Fun

 

What about u × 0 ? The magnitude |u||0| sin θ is zero, and the result is a vector, so:

u × 0 = 0 × u = 0

Now, consider (ku) × v. Plug into the formula for the magnitude, |u||v| sin θ, and for the direction (perpendicular to both operands).



QUESTION 8:

What is (ku) × v ?