Question
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c.
Can you help me think of an example im having trouble doing so
Can you help me think of an example im having trouble doing so
Answers
come on. You can do a cross product, right? So, pick some vectors and do the math.
For example, let
u = <1,1,1>
v = <1,-1,1>
w = <2,1,3>
(uxv)xw = <2,0,-2>x<2,1,3> = <2,-10,2>
ux(vxw) = <1,1,1>x<2,-1,3> = <4,-1,-3>
For example, let
u = <1,1,1>
v = <1,-1,1>
w = <2,1,3>
(uxv)xw = <2,0,-2>x<2,1,3> = <2,-10,2>
ux(vxw) = <1,1,1>x<2,-1,3> = <4,-1,-3>
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