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

1 Answer
ali ergin
Feb 2, 2016

A X B=4i-10j-18kAXB=4i−10j−18k

Explanation:

A=i+4j-2kA=i+4j−2k
B=3i-6j+4kB=3i−6j+4k
A X B=i((A j*B k)-(A k*B j))-j((A i*B k)-(A k*B i))+k((A i*B j)-(A j*B i))AXB=i((Aj⋅Bk)−(Ak⋅Bj))−j((Ai⋅Bk)−(Ak⋅Bi))+k((Ai⋅Bj)−(Aj⋅Bi))
A X B=i(4*4-((-2)*(-6)))-j(1*4-(3*(-2))+k(1*(-6)-(3*4))AXB=i(4⋅4−((−2)⋅(−6)))−j(1⋅4−(3⋅(−2))+k(1⋅(−6)−(3⋅4))
A X B=i(16-12)-j(4+6)+k(-6-12)AXB=i(16−12)−j(4+6)+k(−6−12)
A X B=i(4)-j(10)+k(-18)AXB=i(4)−j(10)+k(−18)
A X B=4i-10j-18kAXB=4i−10j−18k

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