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. 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. 5. Find the direction cosines of the sides of the triangle whose vertices are (3, 5, 4), ( 1, 1, 2) and ( 5, 5, 5)
Question 1:If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines.
Question 2:Find the direction cosines of a line which makes equal angles with the coordinate axes.
Question 3:If a line has the direction ratios –18, 12, – 4, then what are its direction cosines ?
Question 4:Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.
Question 5:Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 5)
