Question

state any four characteristics of scalar product.​

Answer 1

Explanation:

Scalar product is commutative.

Scalar product of two mutually perpendicular vectors is zero.

Scalar product of two parallel. vectors is equal to the product of their magnitudes.

Self product of a vector is equal to square of its magnitude.

Answer 2

The four characteristics of a scalar product are:-

• Scalar product refers to the multiplication operation on vectors. It is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them.
• The quantity given by the scalar product is also scalar in nature. Thus, it is of real value as well.  
• The scalar product shows the commutative property. This means that value of a.b = b.a
• Distributive Property - The scalar product also follows the distributive property which means, a.(b+c) = a.b + a.c
• The scalar quantity is positive when the angle between the vectors is acute and negative when the angle between the vector is obtuse.

Thus, these are the four characteristics of scalar products.

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