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

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) (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.
RELATED QUESTIONS
Which of the following pairs of equations has no solution? (answered by stanbon)

Hi All, Having difficulty with this particular problem on a task sheet, any help... (answered by Fombitz)

show that the vectors A = 3i - 2j +k , B= i - 3j + 5k , C= 2i + j - 4k form a right... (answered by MathLover1)

Please help, Show that vectors a = 2i-4j-k, b = 3i+2j-2k and c = 5i-2j-3k can form the... (answered by Edwin McCravy)

Evening All, Stuck on this vectors problem. a) In cartesian coordinates, the vector a... (answered by Fombitz)

Evening All. Struggling on this vectors problem. i)If a and b are perpendicular, (answered by Edwin McCravy)

Hi, Im Struggeling with this question: Vectors: Show that vectors a = 2i-4j-k, b = (answered by Alan3354,isku,ikleyn)

Given vectors a=3i - 2j and b=4i + 4j. Find 5a -... (answered by venugopalramana)

find a unit vector along each of the following vectors; (i) r=3i^+4j^ (ii)r=12i^-5j^ (answered by Fombitz)