SOLUTION: Given the following vectors: b = -3i + 4j c = i - 2j e = -2j + k Calculate (b + c) x e. I've attempted this problem many times and I keep getting the answer 2i + 2j + 4k

Algebra ->  Vectors -> SOLUTION: Given the following vectors: b = -3i + 4j c = i - 2j e = -2j + k Calculate (b + c) x e. I've attempted this problem many times and I keep getting the answer 2i + 2j + 4k      Log On


   



Question 874973: Given the following vectors:
b = -3i + 4j
c = i - 2j
e = -2j + k
Calculate (b + c) x e.
I've attempted this problem many times and I keep getting the answer 2i + 2j + 4k. The provided solution is 2i + 4k or (2, 0, 4).....
This is my working out..
b + c = (-3 + 1)i + (4 - 2)j = -2i + 2j
(b + c) x e = [(2*1)-(0*-2)]i - [(-2*1)-(0*0)]j + [(-2*-2)-(2*0)]k
= 2i + 2j + 4k
Please explain to me where I've gone wrong. Thank you in advance.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given the following vectors:
b = -3i + 4j
c = i - 2j
e = -2j + k
Calculate (b + c) x e.
I've attempted this problem many times and I keep getting the answer 2i + 2j + 4k. The provided solution is 2i + 4k or (2, 0, 4).....
b + c = (-3 + 1)i + (4 - 2)j = -2i + 2j
(b + c) x e = [(2*1)-(0*-2)]i - [(-2*1)-(0*0)]j + [(-2*-2)-(2*0)]k
= 2i + 2j + 4k
Your answer is correct.