phy

Given three vectors
a⃗ =−i⃗ −4j⃗ +2k⃗
,
b⃗ =3i⃗ +2j⃗ −2k⃗
,
c⃗ =2i⃗ −3j⃗ +k⃗
, calculate
a⃗ ⋅(b⃗ ×c⃗ )

  1. 0
  2. 4
asked by samson
  1. Given
    a=<-1,-4,2>
    b=<3,2,-2>
    c=<2,-3,1>

    bxc=
    i j k
    3 2-2
    2-3 1
    =<-4,-7,-13>
    so
    a.(bxc)
    =<-1,-4,2>.<-4,-7,-13>
    =4+28-26
    =6

    posted by MathMate

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