# CBSE Class 12-science Maths Introduction To 3 D Geometry

Relearn CBSE Class 12 Science Mathematics – Three-Dimensional Geometry – Introduction to 3D Geometry with our video lessons, practice tests and more. Our concept videos are ideal for students who prefer self-study sessions. In this chapter, TopperLearning’s Maths expert covers concepts such as the direction cosines of a line, direction ratios of a line and direction cosines of a line passing through two given points.

Our video lesson will also help you understand the relation between the direction cosines of a line. After learning the important concepts in the chapter from our CBSE Class 12 Science Maths video lessons, you can proceed to our practice tests and sample papers for self-assessment to prepare for your exam.

## Videos

- Two lines given- L₁: x+1/3 = y-3/-2 = z+2/-1 L₂: x/-1=y-7/3=z+7/-2 Find the point of intersection of the lines L₁ and L₂.
- 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 45
^{o}and to Y-axis at 60^{o}. - If a line in the XY-plane makes an angle 60
^{o}with X-axis. Find the direction cosines of this line. - If a line makes angles with OX, OY and OZ respectively. Prove that .
- If a line makes angles with OX, OY and OZ respectively. Prove that .

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