why vector a. vector b. vector c senseless?

Dear Devyanshi,

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors) and returns a single number obtained by multiplying corresponding entries and then summing those products. The name "dot product" is derived from the centered dot "  " that is often used to designate this operation; the alternative name "scalar product" emphasizes the scalar (rather than vector) nature of the result.

DOT Product doesnt obey assosiative law,

Thus we need to specify:

(a.b).c or a.(b.c) both are correct but a.b.c is invalid.

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