(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let Vector a = (3, 4, 1), Vector b = (5, -2, 3) and Vector c = (0, 1, -3). Does Vector a Ã— (Vector b + Vector c) = (Vector a Ã— Vector b) + (Vector a Ã— Vector c)

2. Relevant equations

a X (b+c)=(a X b)+(a X c)

3. The attempt at a solution

3 5

4 -1

1 0

3 5

4 -1

1 0 Cross out the top 2 numbers and the bottom 2 numbers

Draw 3 arrows going down and three arrows going up. Then subtract down minus up.

for a X (b +c)

(b+c) x=5+0=5

y=-2+1=-1

z=3-3=0

Therefore (b+c=5,-1,0)

a X (b+c)= (3,4,1) X (5,-1,0)

=(15, -4, 0)

According the answer this is wrong also I don't know what to do after this step?

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# Homework Help: Distributive Law and Vectors

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