Express the unit vectors iˆ, jˆ, and kˆ as ordered triples and show that:

Question

a) iˆ x� jˆ = �kˆ b) kˆ x� jˆ� = -�iˆ

To begin, I subbed in
iˆ= (1,0,0)
jˆ= (0,1,0)
kˆ = (0,0,1)

for a) I got (0,-1,1) = (0,0,1) after crossing i x j
What do I do next?
(there are no answers for this)^^

Answer 1

Well , according to whatever method of cross-products you use
(1,0,0) x (0,1,0) = ( 0,0,1) which was vector k

then k x j
= (0,0,1) x (0,1,0) = (-1,0,0) = -i