I solved it.
So obvious once I figured it out.
This question is oddly worded:
"Use the geometric definition of the cross product and the properties of the cross product to make the following calculations."
a. ((j + k) x j) x k =
b. (i + j) x (i x j) =
c. 3k x (k x j) =
d. (i + j) x (i - j) =
I'm unsure what this question is looking for as far as an answer, I understand the geometric definition of these terms (what the vector it describes is doing) but am unsure how I'm supposed to represent that.
Will help out another question if this question is answered