What is the cross product of <-3, -1, 8 ><−3,−1,8> and <-1, 4, -9 ><−1,4,−9>?

1 Answer
ali ergin
Mar 19, 2016

"see animation below"see animation below
vec C=-41 hat i+19 hat j-13 hat k→C=−41ˆi+19ˆj−13ˆk

Explanation:

enter image source here

A= <-3,-1,8>" "B <-1,4,-9>A=<−3,−1,8> B<−1,4,−9>
vec A=-3hat i-hat j+8 hat k→A=−3ˆi−ˆj+8ˆk
vec B=- hat i+4 hat j-9 hat k→B=−ˆi+4ˆj−9ˆk
vec A= < a,b,c >→A=<a,b,c>
vec B= < d,e,f >→B=<d,e,f>
vec C=vec AX vec B→C=→AX→B
vec C= hat i(b*f-c*e)- hat j(a*f-c*d)+ hat k(a*e-b*d)→C=ˆi(b⋅f−c⋅e)−ˆj(a⋅f−c⋅d)+ˆk(a⋅e−b⋅d)
vec C=hat i(-9-32)- hat j(-27+8)+ hat k(-12-1)→C=ˆi(−9−32)−ˆj(−27+8)+ˆk(−12−1)
vec C=-41 hat i+19 hat j-13 hat k→C=−41ˆi+19ˆj−13ˆk

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