# If C = 3a- 2b Prove That A B C=0 - Mathematics and Statistics

Sum

If bar c = 3bara- 2bar b  Prove that [bar a bar b barc]=0

#### Solution

Given barc=3bara-2barb

Prove that [bar a bar b barc]=0

barb xxbarb = 0 If in a scalar triple product, two vectors are equal, then the secalar triple product is zero.

L.H.S=[bara barb barc]

=bara (barbxxbarc)

=bara(barbxx(3bara-2barb))

=bara(3baraxxbarb-2barbxxbarb)

=bara(3baraxxbarb-0)

=2baraxxbaraxxbarb

=2xx0xxbarb

=0

Hence Proved

Concept: Scalar Triple Product of Vectors
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