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March 26, 2017

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express the component of a cross product vector C= A x B in terms of Levi civita product vector and the component of a and B, using this relation show that A . ( AxB ) = 0

  • Math - ,

    write a dimesions of each room as a single unit a 10' 3" * 16' 9"

  • Math - ,

    10' = 120 inches + 3 = 123 inches
    16' = 192 inches + 9 = 201 inches

  • Math - ,

    There is nothing wrong w/ this! What is your question? We can't answer what you're trying to ask unless you put it down!

  • Math - ,

    Ck = eijk Ai Bj
    e = 0 if any indices the same
    e = 1 if order is 123, 231 etc
    e = -1 if order is 132, 213 etc
    so
    A dot C = Ak Ck = Ak eijk Ai Bj
    well for example. look at A1 C1
    A1 C1 = A1 eij1 Ai Bj
    = A1 A2 B3 - A1 A3 B2
    now A2 C2 = A2 A3 B1 -A2 A1 B3
    then A3 C3 = A3 A1 B2 - A3 A2 B1
    When we add
    For every PLUS we have an equal Negative
    for example
    A1 A2 B3 [- A1 A3 B2 ]
    A2 C2 = A2 A3 B1 -A2 A1 B3
    A3 C3 = [ A3 A1 B2 ] - A3 A2 B1

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