Dot or Scalar Product of two Vectors formula

1. Scalar Product :

Scalar Product

Note :

Scalar Product

2. Orthonormal System :

Orthonormal System

3. Scalar product of two vectors :

Scalar product of two vectors

4. Condition of two vectors parallel and perpendicular :

(i). For Parallel :

Condition of two vectors parallel and perpendicular

(ii). For Perpendicular :

Condition of two vectors parallel and perpendicular

5. Angle between two vectors : 

Angle between two vectors

6. If two vectors perpendicular to each other.

If two vectors perpendicular to each other

7.  If two vectors parallel to each other.

If two vectors parallel to each other

8. If two like vectors :

If two like vectors

9. If two unlike vectors.

If two unlike vectors

10. If two vectors perpendicular to each other.

If two vectors perpendicular to each other

11. The scalar product of vector a and itself.

The scalar product of vector a and itself

12. If two unit vectors.

If two unit vectors

13. Properties of Scalar Product.

Properties of Scalar Product

14. Angle b/w two vectors :

Angle b/w two vectors

15. Dot product with i , j and k.

Dot product with i , j and k

16. Components of vector b along vector a & Perpendicular to a.

Components of vector b along vector a & Perpendicular to a

17. Resolution of a Vector :

Resolution of a Vector

18. Length of Perpendicular.

Length of Perpendicular

19. Projection or Work done by the force.

Projection or work done by the force.

Note : 

Projection or work done by the force.

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