﻿   If  are three non-coplanar, non-zero vectors, then              is equal to  : Kaysons Education

# If  are Three Non-coplanar, Non-zero Vectors, Then              is Equal To

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## Question

### Solution

Correct option is

Since  are non-coplanar vectors. Therefore, so are the vectors

We know that any vector in space is expressible as the linear combination of three non-coplanar vectors. So, let

Taking dot products successively with  we get

Substituting these values in (i), we obtain that the given expression is equal to

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