﻿ Find the magnitude and direction of resultant of two vectors analytically. Discuss the special cases for angle between the vectors: (i) 0° (ii) 180° (iii) 90°. from Physics Motion in A Plane Class 11 Manipur Board

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Find the magnitude and direction of resultant of two vectors analytically. Discuss the special cases for angle between the vectors: (i) 0° (ii) 180° (iii) 90°.

Let two vectors  be represented by two adjacent sides OA and OB of parallelogram OACB.
From C draw CD perpendicular to OA produced.
[corresponding angle]
From

Special cases:

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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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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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Give three examples of vector quantities.

Force, impulse and momentum.
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