1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Distributive Law and Vectors

  1. Mar 10, 2009 #1
    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 × (Vector b + Vector c) = (Vector a × Vector b) + (Vector a × 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?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Distributive Law and Vectors
  1. Two distributions (Replies: 0)

Loading...