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11. Three Dimensional Geometry
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Q3 of 76 Page 467

If a line has the direction ratios –18, 12, –4, then what are its direction cosines?

If the direction ratios of the line are a, b and c

Then the direction cosines are


Given direction ratios are – 18, 12 and – 4


⇒ a= -18, b = 12 and c= -4



=


=


Direction cosines are




More from this chapter

All 76 →
1

If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines.

2

Find the direction cosines of a line which makes equal angles with the coordinate axes.

4

Show that the points (2, 3, 4), (–1, –2, 1), (5, 8, 7) are collinear.

5

Find the direction cosines of the sides of the triangle whose vertices are (3, 5, –4), (-1, 1, 2) and (–5, –5, –2).

Questions · 76
11. Three Dimensional Geometry
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