What is the cross product of [-3, 5, -3][3,5,3] and [4, -11, 11] [4,11,11]?

1 Answer
Mar 1, 2016

vec C=22i+21j+13kC=22i+21j+13k

Explanation:

"the cross product of two vector is given as :"the cross product of two vector is given as :
vec A=(a,b,c)A=(a,b,c)
vec B=(d,e,f)B=(d,e,f)
vec C=vec A X vec BC=AXB
vec C=i(b*f-c*e)-j(a*f-c*d)+k(a*e-b*d)C=i(bfce)j(afcd)+k(aebd)
"Thus:"Thus:
vec C=i(5*11-11*3)-j(-3*11-(-3*4))+k((-3)*(-11)-5*4)C=i(511113)j(311(34))+k((3)(11)54)
vec C=i(55-33)-j(-33+12)+k(33-20)C=i(5533)j(33+12)+k(3320)
vec C=22i+21j+13kC=22i+21j+13k