What is the cross product of $[1,-2,-1]$ and $[4,3,6]$ ?

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Answer 1 · 2016-05-22T00:19:48

The cross product is ${-9,-10,11}$ .

For two vectors ${a,b,c}$ and ${x,y,z}$ , the cross product is given by:

${(bz-cy),(cx-az),(ay-bx)}$

In this case, the cross product is:

${(-2*6)-(-1*3),(-1*4)-(1*6),(1*3)-(-2*4)}$

$={(-12)-(-3),(-4)-(6),(3)-(-8)}$

$={-9,-10,11}$

What is the cross product of [1,-2,-1][1,-2,-1] and [4,3,6] [4,3,6] ?