Three Dimensional Geometry

Capsule -I

Let us consider three mutually perpendicular lines in space passing through a fixed point O.

The Point O is called origin and three lines OX,OY,OZ are termed as X axis, Y axis and Z axis respectively.

The moving arrows shows the +ve direction of these axes and the opposite of it is –ve direction.

The plane containing X and Y axes is called XY Plane.

The plane containing Y and Z axes is called YZ Plane.

The plane containing Z and X axes is called ZX Plane.

All the three planes are extended to infinity and they divide the whole space in 8 parts called octants and denoted by I Octant, II Octant,III Octant and IV Octant above XY-Plane taken anticlockwise as shown in fig. and corresponding below the XY plane taken as V,VI,VII and VIII Octant.

We define, Distance of point from

XY Plane as Z Coordinate.

Distance of point from YZ Plane as X Coordinate.

Distance of point from ZX Plane as Y Coordinate.

That is Distance parallel to Z

axis as Z coordinate

Distance parallel to X axis as X coordinate

Distance parallel to Y axis as Y coordinate

Capsule -1

Of course, we much take coordinates +ve and –ve as per direction of axis.

Coordinates of the point on X-axis at a distance 4 units from origin will be

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A) 0,0,0

B) 0,0,4

C) 0,4,0

D) 4,0,0

Coordinates of a point in space whoe distance from origin is 3 units and lying on X-ais in its -ve direction is

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A) 3,0,0

B) -3,0,0

C) 0,3,-3

D) 0,-3,3

A point is on +ve direction of Y-axis at 7 units from origin. then its coordiantes will be

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A) 0,0,7

B) 0,0,-7

C) 0,7,0

D) 0,-7,0

A point is in XY plane. Its distance measured parallel to X axis is 10 units and that of parallel to Y axis is 20 units.Then its coordinates are

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A) 10,0,20

B) 20,10,0

C) 10,20,0

D) 0,10,20

3 D Introduction

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