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Sticky Note
i x (j x k) = ____?
  1. -1
  2. 0
  3. 1
  4. None of these
Explanation

Let's evaluate the cross product step by step:

Given: i×(j×k)

Recall the vector triple product identity:

a×(b×c)=(a⋅c)b−(a⋅b)c

Apply this with a=i, b=j, c=k:

i×(j×k)=(i⋅k)j−(i⋅j)k

Now, compute the dot products:

  • i⋅k=0 (since they are perpendicular)

  • i⋅j=0 (since they are perpendicular)

So,

i×(j×k)=(0)j−(0)k=0

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