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 = Ax = Acos
sin = Ay = Asin
7.To add vectors by components: = + + +…
(a)Find the components of all vectors to be added.
(b)Add all x components to get Rx = Ax + Bx + Cx + …
Add all y components to get Ry = Ay + By + Cy +…
Useful for CBSE, ICSE, NCERT & International Students
Grade : 9
Lesson : Motion
Topic: Scalar and vector quantities Video
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