Question

What is the cross product of `<2 , 5 ,-3 >` and `<5 ,6 ,-2 >`?

Answer 1

`A X B=<8,-11-13>`

Explanation:

`(a,b,c)X(d,e,f)=(b*f-e*c)-(a*f-c*d)+(a*e-b*d)`
`A=(2,5,-3) " ;B="(5,6,-2)`
`A X B=(5*(-2)-(-3*6))-(2*(-2)-(-3*5))+(2*6-5*5)`
`A X B=(-10+18)-(-4+15)+(12-25)`
`A X B=8i-11j-13k`
`A X B=<8,-11-13>`