A vector `overset rarrA` is expressed as `rarr underset A = A_x= hati + A_yhatj` where `A_x` and `A_y` are its components along x-axis and y-axis respectively. If vector makes an angle `theta` with x-axis, then `theta` is given by which expression?

Write down the equation of a plane making intercepts a,b,c on X, Y and Z-axes respectively.

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by F=-hati+2hatj+3hatk N where hatihatjhatk are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z-axis?

Write down the equation of the straight line passing through the origin which makes an angle 60^@ with positive x-axis.

The displacement y of a particle in a medium can be expressed as y =10^(-6) wSin(100t+20x), where t and x are in second and metre respectively. Calculate the speed of the wave.

Answer the question A line makes angles 30^(@), 60 ^(@) and 90^(@) with positive directions of X,Y and Z-axes, repectively. Find its direction cosines.

Draw the line passing through (2,3) and (3,2). Find the coordinates of the points at which this line meets the x-axis and y-axis

The motion of a particle along x-axis is given by equation x = 9+ 5t^2 , where x is the distance in cm and t is time in second. Find the displacement after 3 seconds.

Find the equation of an cllipse in its standard form with major axis X-axis and minor axis along Y-axis when the distance between the foci is 2 units and that between the directrices is 4 units.