Show that the dot product of `3 D` vector is a scalar.

Scalar product of vectors

Show that the scalar product of two vectors is equal to the sum of the products of their corresponding rectangular components.

Show that the scalar product of two vectors vec A and vec B is commutative.

If the ratio of the dot product of two vectors and cross product of same two vectors is sqrt3 , the two vectors make angle

Dot Product Of Unit Vectors

Prove that the scalar product of vectors is distributive over addition.

If the resultant of two vectors having magnitudes of 6 and 3 is 9 then the dot product of two vectors is (A) 6 (B) 3 (C) "9 (D) 18

Two vectors of magnitudes 3 and 4 give a resultant of magnitude 1. What must be the dot product of these two vectors ?

Assertion: The dot product of one vector with another vector may be scalar or a vector. Reason: If the product of two vectors is a vector quantity, then product is called a dot product.

The magnitude of the vector product of two vectors is sqrt(3) times their scalar product. The angle between the two vectors is