Question

Question:


What is the cross product of

2i -3j+4k and i+ j+7k




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Answer 1

Explanation:

Let,

       A→ =  2i - 3j + 4k

       B→ =  i + j + 7k

Here,

             a₁= 2     b₁= (-3)      c₁= 4

             a₂= 1     b₂= 1          c₂= 7

   A x B = (b₁c₂ - b₂c₁)i + (c₁a₂ - c₂a₁) + (a₁b₂ - a₂b₁)

             = [{(-3) x 7} - (1 x 4)]i + [(4 x 1) - (7 x 2)]j + [{(2 x 1) - 1 x (-3)}]k

             = [(-21) - 4]i + (4 - 14)j + [2 - (-3)]k

             = (-25)i + (-10)j + 5k