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11. Three Dimensional Geometry
Home · Class 12 · Maths · Mathematics Part-II · 11. Three Dimensional Geometry
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Q5 of 76 Page 467

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


The direction cosines of the two points passing through A(x1, y1, z1) and B(x2, y2, z2) is given by


(x2 – x1), (y2-y1), (z2-z1)


And the direction cosines of the line AB is


Where AB =



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3

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

4

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

1

Show that the three lines with direction cosines are mutually perpendicular.

2

Show that the line through the points (1, –1, 2), (3, 4, –2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

Questions · 76
11. Three Dimensional Geometry
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