CBSE Class 12 science: Introduction to 3-D Geometry Videos | Introduction to 3D Geometry
Introduction to 3D Geometry
An octant is one of the eight divisions of a Euclidean three-dimensional coordinate system.
There is one to one correspondence between the points in space and ordered triplet (x,y,z) of real numbers.
The coordinates of points on the x axis are of the type (x,0,0), on the y axis are (0,y,0) and on the z axis are (0,0,z)
The x coordinate of the point in the YZ plane is zero, Z-coordinate of a point in the XY plane is zero and y-coordinate in the XZ plane is also zero.
There is one to one correspondence between the points in space and ordered triplet (x,y,z) of real numbers.
The coordinates of points on the x axis are of the type (x,0,0), on the y axis are (0,y,0) and on the z axis are (0,0,z)
The x coordinate of the point in the YZ plane is zero, Z-coordinate of a point in the XY plane is zero and y-coordinate in the XZ plane is also zero.
More videos from this chapter
View All-
Cartesian equation of a line
-
Skew Lines
-
Cartesian equation of a line
-
Concepts on Skew lines
-
Cartesian Equation of A Line: Exam Prep Strategies ...
-
question no 24
- Two lines given- L?: x+1/3 = y-3/-2 = z+2/-1 L?: x/-1=y-7/3=z+7/-2 Find the point of intersection of the lines L? and L?.
- The value of direction cosine of two straight lines can satisfy the two equation, 3l+m+5n=0 & 6mn-2nl+5lm=0 . Find the angle between those lines.
- prove that vectors -2i -2j+4k , -2i+4j -2k , 4i -2j -2k are coplanar ?
- Find the direction cosines of the line whose direction ratios are 4, – 3, 2 .
-
Find the direction cosines of the vector
.&
- Find the direction cosines of the line segment joining the points (2, 0, 1) and (–1, 3, –2).
- Find the angle inclined to Z-axis, where line is inclined to X-axis at 45o and to Y-axis at 60o.
- If a line in the XY-plane makes an angle 60o with X-axis. Find the direction cosines of this line.
-
If a line makes angles
with OX, OY and OZ respectively. Prove that 
.