A scalar quantity is one that
can never take negative values
must be dimensionless
does not vary from one point to another in space
has the same value for observers with different orientation of axes
Define scalar and vector physical quantities with their examples.
If $\overrightarrow A $ is $(3,\, 4)$ unit, then show that the value of its unit vector is $1$.
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is
A boy walks uniformally along the sides of a rectangular park of size $400\, m × 300\, m$, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect
Read each statement below carefully and state with reasons, if it is true or false :
$(a)$ The magnitude of a vector is always a scalar,
$(b)$ each component of a vector is always a scalar,
$(c)$ the total path length is always equal to the magnitude of the displacement vector of a particle.
$(d)$ the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time,
$(e)$ Three vectors not lying in a plane can never add up to give a null vector.