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Vector addition

  1. Sep 18, 2007 #1

    klm

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    vector A= (2,-1,1)
    vec. B = ( 3, 0, 5)
    vec. C = (1,4,-2)
    what is 2A + 3(B+C)

    this is what i did:
    2A = 2(2,-1,1) = (4,-2, 2)

    (B+C) = (4,4,3) x 3 = (12,12, 9)

    2A + 3(B+C) = (16,10,11)

    is this the correct way to think and do this problem?
     
  2. jcsd
  3. Sep 18, 2007 #2

    bel

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    Yes, you just add up the components because all vectors are the sum of their components; and of course, a scalar times a vector is just a vector of scaled up magnitude in the direction of the original vector.
     
  4. Sep 18, 2007 #3

    klm

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    okay thank you! and is it all right to multiply like that? or is there some other rule for multiplying vectors?
     
  5. Sep 18, 2007 #4

    bel

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    It is all right, because that is just a case of a scalar multiplying a vector.
     
  6. Sep 18, 2007 #5

    klm

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    ok! thank you very much!
     
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