Define scalar and vector physical quantities with their examples.
Scalar physical quantity : "The physical quantity which needs only magnitude to describe it is called a scalar physical quantity."
E.g. : Mass, distance, time, density, temperature, power etc.
Vector physical quantity: "The physical quantity which needs magnitude and direction both to describe it is called a vector physical quantity."
E.g. : Displacement, velocity, acceleration, force etc.
What is vector ? How it can be represented ?
A physical quantity which has a direction
If a vector $\overrightarrow P $ making angles $\alpha, \beta\ and\ \gamma$ respectively with the $X, Y$ and $Z$ axes respectively. Then ${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma = $
“Explain the meaning of multiplication of vectors by real numbers with an example.”
What is position vector ? What is displacement vector ? Explain equality of vectors.