Q.2.1. Suppose in a rectangular coordinate system, a vector A has its tail at the point P(-2,-3) and its tip at Q(3,9).Determine the distance between these two points.
Q.2.2. A certain corner of a room is selected as the origin of a rectangular coordinate system. If an insect is sitting on an adjacent wall at a point having coordinates(2,1), where the units are in metres, what is the distance of the insect from this corner of the room?
Q.2.4.Two particles are located at r1=3 î +7 ĵ and r2=-2 î +3 ĵ respectively. Find both the magnitude of the vector (r2–r1) and its orientation with respect to the x-axis.
Q.2.5. If a vector B is added to vector A, the result is 6 î + ĵ .If B is subtracted from A, the result is -4î +7ĵ. What is the magnitude of vector A?
Q.2.6. Given that A =2 î +3 ĵ and B = 3 î– 4 ĵ, find the magnitude and angle of (a) C=A+B, and (b) D=3A-2B.
Q.2.8. Find the work done when the point of application of the force 3 î +2 ĵ moves in a straight line from the point (2,-1) to the point (6,4).
Q.2.9. Show that the three vector î + ĵ + ḵ , 2 î -3 ĵ + ḵ and 4 î + ĵ – 5ḵ are mutually perpendicular.