﻿ What are the characteristics of dot product? from Physics Motion in A Plane Class 11 Manipur Board

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What are the characteristics of dot product?

The characteristics of dot product are:

(i)  Dot product of two vectors is commutative.

Mathematically,

(ii)  Dot product is distributive.

Mathematically,

(iii) Dot product of two perpendiculars vectors is zero.

Mathematically              if

(iv) Dot product of vector with itself is equal to square of magnitude of vector.

Mathematically,

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Give three examples of vector quantities.

Force, impulse and momentum.
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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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