**Scalar and vector quantities:**

A **scalar quantity** is a one dimensional measurement of a **quantity**, like temperature, or weight. A **vector** has more than one number associated with it. A simple example is velocity. It has a magnitude, called speed,To know more about Scalar and vector quantities Video,watch Scalar and vector quantities Video to learn more .

**Scalars and Vectors:**

**Scalars** have magnitude only. Temperature, speed, mass, and volume are examples of scalars.

**Vectors** have magnitude and direction. The magnitude of is written || v . Position, displacement, velocity, acceleration and force are examples of vector quantities. Vectors have the following properties:

1.Vectors are equal if they have the same magnitude and direction.

2.Vectors must have the same units in order for them to be added or subtracted.

3.The negative of a vector has the same magnitude but opposite direction.

4.Subtraction of a vector is defined by adding a negative vector:- = + (- )

5.Multiplication or division of a vector by a scalar results in a vector for which

(a)only the magnitude changes if the scalar is positive

(b)the magnitude changes and the direction is reversed if the scalar is negative.

6.The projections of a vector along the axes of a rectangular co-ordinate system are called the **components** of the vector. The components of a vector completely define the vector.

cos = A_{x} = Acos

sin = A_{y }= Asin

7.To add vectors by components: = + + +…

(a)Find the components of all vectors to be added.

(b)Add all x components to get R_{x} = A_{x} + B_{x} + C_{x} + …

Add all y components to get R_{y} = A_{y} + B_{y} + C_{y} +…

Useful for CBSE, ICSE, NCERT & International Students

Grade : 9

Subject :Physics

Lesson : Motion

Topic: Scalar and vector quantities Video

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