Mathematics In ...

The volume flow rate of water flowing out of a tubewell is given by Q = (3t² − 4t + 1)m³ / sec. What volume of water will flow out of the tubewell in the third second if the volume flow rate is defined as Q = dv / dt ?

A thin wire bent to form a circle and carrying a current I has a magnetic moment M. The shape of the wire is changed to a square and it carries the same current. It will have a magnetic moment

A scalar quantity is one that:

The position of a particle in a rectangular co-ordinate system is (3, 2, 5). Then its position vector will be:

A force of 5N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component will be:

 is a vector with magnitude A, then the unit vector  in the direction of  is

If then the direction cosines of the vector are:

(direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three +ve coordinate axes.)

The vector that must be added to the vector  so that the resultant vector is a unit vecotr along the y-axis is

Surface area is:

A force F applied at a 30° angle to the x-axis has the following X and Y components: