﻿ When the vector sum of the two forces is perpendicular to their vector difference? from Physics Motion in A Plane Class 11 Manipur Board

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When the vector sum of the two forces is perpendicular to their vector difference?

The two diagonals of a parallelogram formed by two vectors represent the vector sum and vector difference of two vectors.
When the parallelogram is a square, the diagonals are perpendicular. Then, the two force vectors are represented by the adjacent sides of the square. Hence, the two force vectors which are equal in magnitude and perpendicular to each other have their vector sum perpendicular to their vector difference.
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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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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 scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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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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