Vectors #A = ( L, 1, 0 ), B = ( 0, M, 1 ) and C = ( 1, 0, N ). A X B and B X C# are parallel. How do you prove that #L M N + 1 = 0?#
See the Proof given in Explanation Section.
We are given that
We know, from Vector Geometry, that
Utilising this for our
Here, we need the following Vector Identity :
Applying this in
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L M N + 1 = 0
These are parallel, and so,
L M N + 1 = 0.