CBSE Class 12-science Maths Three Dimensional Geometry
- 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 .
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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.
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If a line makes angles
with OX, OY and OZ respectively. Prove that 
.
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If a line makes angles
with OX, OY and OZ respectively. Prove that 
.
