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Introduction to Three Dimensional Geometry EXERCISE 11.1 Solutions
- Q1: If a line makes angles $90^\circ$, $135^\circ$, $45^\circ$ with the $x$, $y$ and $z$-axes respectively, find its direction cosines.
- Q2: Find the direction cosines of a line which makes equal angles with the coordinate axes.
- Q3: If a line has the direction ratios –18, 12, – 4, then what are its direction cosines ?
- Q4: Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.
- Q5: Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).
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