posted by steve .
Given vectors A= (Axi + Ayj), B= (Byj+Bzk) and C= (Cyj + Czk).
a) find the triple product of these vectors defined by A dot (BxC) in terms of the vector components.
I get 0 as the answer.
b) is the result found in a) a scalar of a vector?
since I had to multiply finally by the scalar product, the answer in a is scalar.
Am I right?
Well, looking at BxC, jxj is zero, jxz is i, kxj is minus i, and kxk is zero.
BxC is By*Cz (i) + Bz x Cy (-i)
Dotting that with Axi hardly gives zero. Check my work, I did it in my head.
dot products always gives scalars.