POINTS IN 3 DIMENSIONS 2D The xy-plane is used to plot points in 2D.

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Presentation transcript:

POINTS IN 3 DIMENSIONS 2D The xy-plane is used to plot points in 2D. We look down on this from above.

3D NB: Z X-axis left to right. Y Y-axis front to back. Z-axis top to bottom. X NB: (a) All 3 axes are perpendicular to each other. (b)(i) X-axis is perpendicular to yz-plane. (ii) Y-axis is perpendicular to xz-plane. (iii) Z-axis is perpendicular to xy-plane.

Ex Suppose we have a cuboid measuring 4 X 3 X 6 fitted against the axes as shown. Z O is (0,0,0) Y D E A is (4,0,0) F B is (4,3,0) G C is (0,3,0) D is (0,3,6) 6 E is (4,3,6) C B F is (4,0,6) 3 X O 4 A G is (0,0,6) ( ) - ( ) = ( ) ( ) 4 4 4 GB = b – g = 3 3 GB = 3 6 -6 -6 By inspection Using rule from 2D.

NB: On X-axis y = 0 and z = 0. Points O & A. On Y-axis x = 0 and z = 0. Points O & C. On Z-axis x = 0 and y = 0. Points O & G. In xy-plane z = 0. Points O, A, B & C. In xz-plane y = 0. Points O, A, F & G. In yz-plane x = 0. Points O, C, D & G.