Asked by luke
Express the unit vectors iˆ, jˆ, and kˆ as ordered triples and show that:
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)^^
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)^^
Answers
Answered by
Reiny
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
(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