SOLUTION: Given the following vectors: c = i - 2j d = 5i - 3j + 2k Find c(dot)c x d. My answer is 0 but the provided solution is 2. My working: As the cross product is between t

Algebra ->  Vectors -> SOLUTION: Given the following vectors: c = i - 2j d = 5i - 3j + 2k Find c(dot)c x d. My answer is 0 but the provided solution is 2. My working: As the cross product is between t      Log On


   



Question 875097: Given the following vectors:
c = i - 2j
d = 5i - 3j + 2k
Find c(dot)c x d. My answer is 0 but the provided solution is 2.
My working:
As the cross product is between two vectors, the cross multiplication has to be done first (the dot product is scalar).
c x d = [(-2*2)-(0*-3)]i - [(1*2)-(0*5)]j + [(1*-3)-(-2*5)]k
= -4i - 2j + 7k
c(dot)c x d = (1*-4)+(-2*-2)+(0*7) = 0
Can you see a mistake in my working? Thank you in advance.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm getting c x d = -4i - 2j + 7k as well

So c dot (c x d) = 0

Perhaps there's a typo somewhere?