Plot the points T(4,-2) and V(-2,4) on a cartesian plane. Whether these two coordinates locate the same point?

The points (3, -2) (-2, 8) and (0, 4) are three points in a plane. Show that these points are collinear.

i. Find the coordinates of the point which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) . (ii) Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

Plot the following point (-3, 3), (2, 3), (-6, -1) and (5, -1) in the cartesian plane, where do they lie?

Plot the points (2,3), (6,3) and (4,7) in a graphsheet. Join them to make it a triangle. Find the area of the triangle.

Consider the points A(5,1,6) and B(3,4,1) i.Find the cartesian equation of the line through A and B. ii. Find the point where the line crosses the yz plane.

Two charges of -4 muC and +4 muC are placed at the points A(1,0,4) and B(2,-1,5) located in an electric field vecE= 0.20hati V/cm. Calculate the torque acting on the dipole.

A point R with x-coordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10) . Find the coordinates of the point R.

Plot the points A(2,2) B(6,2), C(8,5) and D(4,5) in a graph sheet. Join all the points to make it is a parallalogram. Find its area.

Consider the points A(3,-4,-5) and B(2,-3,1). i.Find the vector and cartesian equations of the line passing through the points A and B. ii. Find the point where the line crosses the XY plane.

Locate the point (i) (3,5) and (5,3) (ii) (-2,-5) and (-5,-2) in the rectangular coordinate system.