Vectors A = ( L, 1, 0 ), B = ( 0, M, 1 ) and C = ( 1, 0, N ). A X B and B X CA=(L,1,0),B=(0,M,1)andC=(1,0,N).AXBandBXC are parallel. How do you prove that L M N + 1 = 0?LMN+1=0?
2 Answers
See the Proof given in Explanation Section.
Explanation:
Let
We are given that
We know, from Vector Geometry, that
Utilising this for our
Here, we need the following Vector Identity :
Applying this in
Using
But,
Q.E.D.
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L M N + 1 = 0
Explanation:
These are parallel, and so,
Thus,
L M N + 1 = 0.