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# If Veca","Vecb","VeccAre Unit Vectors Such That Veca+Vecb+Vecc=0, Then Write the Value Of Veca.Vecb+Vecb.Vecc+Vecc.Veca - CBSE (Science) Class 12 - Mathematics

ConceptProduct of Two Vectors Scalar (Or Dot) Product of Two Vectors

#### Question

If veca","vecb","veccare unit vectors such that veca+vecb+vecc=0, then write the value of  veca.vecb+vecb.vecc+vecc.veca

#### Solution 1

We have veca","vecb","veccas unit vectors.

Therefore |veca|=1","|vecb|=1" and"|vecc|=1

Also  veca+vecb+vecc=0

|veca+vecb+vecc|^2=0

=>|veca|^2+|vecb|^2+|vecc|^2+2(veca.vecb+vecb.vecc+vecc.veca)=0

=>1+1+1+2(veca.vecb+vecb.vecc+vecc.veca)=0

=>3+2(veca.vecb+vecb.vecc+vecc.veca)=0

=>(veca.vecb+vecb.vecc+vecc.veca)=-3/2

#### Solution 2

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Solution If Veca","Vecb","VeccAre Unit Vectors Such That Veca+Vecb+Vecc=0, Then Write the Value Of Veca.Vecb+Vecb.Vecc+Vecc.Veca Concept: Product of Two Vectors - Scalar (Or Dot) Product of Two Vectors.
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