dimensional cartesian coordinate

Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines ..

Which of the following represents the relation between Cartesian and Polar coordinates? => x = r cos θ; y = r sin θ; r = x 2 - y 2 or x = r sin θ; y = r cos θ or x = r cos θ; y = r sin θ; r = x 2 + y 2 or None of the above..

Which of the following is correct? => One number line always describe three dimensional coordinate system or Four number lines which interesect at a point describe three dimensional coordinate system or Three mutually perpendicular number lines which intersec..

Motion in One, Two and Three Dimensions - A body is said to be in motion if its position changes with respect to its surrounding. In order to completely describe the motion of such objects, we need to specify its position. For this, we need to know the position coordinates. In some cases,..

If an angle of any measure be given, one can always construct (or draw) a cartesian co-ordinate reference frame in such a way that the origin is at the vertex of the angle, and positive half of the x axis coincides with the initial side of the angle. When this has been achieved..

) The lasers are used for drilling tiny holes in diamonds for drawing fine wires. (iv) They are used in precision surveying. Because of its high intensity and exceptional directionality, the laser is an excellent tool for surveying. In order to be certain that a bridge or tunnel is being constructe..

> Equating coefficients of and on both sides of the above equation, we get the two following equations Here, each rectangular position coordinate depends on time like the position coordinate of a uniform one dimensional positio..

. In addition to this, the direction of the position vector gives the direction q in which P lies, as observed from 0. It is important to note that position vectors are different for different positions of the particle. The above explanation can be extended to a three dimensional coo..

For a proper discussion of the three phases of matter, we require a three-dimensional diagram in which P, V and T should be plotted against three mutually perpendicular coordinate axes. This diagram, known as P-V-T diagram, is difficult to draw on paper. Hence, we generally igno..

A pair of objects, written in a specified order is called an ordered pair . A pair of objects, written in a specified order is called an ordered pair . For the ordered pair (a,b), a is called the first element and b, the second element. The ordered pairs (a,b) and (c,d) are equal if th..