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Let \vec{a},\vec{b},\vec{c} are three non -coplanar vectors , and \vec{a},\vec{b},\vec{c} are reciprocal system of vectors then \vec{a}\cdot \vec{a}+\vec{b}\cdot \vec{b}+\vec{c}\cdot \vec{c}  equals 

Option: 1

1


Option: 2

2


Option: 3

3


Option: 4

4


Answers (1)

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As we have learned

Reciprocal System of Vectors -

\vec{a}\cdot \vec{a'}=\vec{b}\cdot \vec{b'}=\vec{c}\cdot \vec{c'}=1

- wherein

\vec{a}, \vec{b}, \vec{c}are vectors 

\vec{a} \ {}', \vec{b} \ {}', \vec{c} \ {}'are reciprocal system of vectors.

 

 \vec{a}\cdot \vec{a'}=\vec{b}\cdot \vec{b'}=\vec{c}\cdot \vec{c'}= 1

\therefore \vec{a}\cdot \vec{a'}+\vec{b}\cdot \vec{b'}+\vec{c}\cdot \vec{c'}= 3

 

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