A line makes equal angles with all three coordinate axes. Find its direction cosines.
Introduction to Three-Dimensional Geometry
Original Khojo Papers practice question — not from a past board paper.
(4, 5, 6)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
By the section formula each coordinate is (1 × second + 2 × first)/3, giving (8 + 4)/3, (9 + 6)/3 and (10 + 8)/3.
From the same topic and chapter, at a similar level.
A line makes equal angles with all three coordinate axes. Find its direction cosines.
Introduction to Three-Dimensional Geometry
Find the centroid of the triangle whose vertices are (1, 2, 3), (4, 5, 6) and (7, 8, 9).
Introduction to Three-Dimensional Geometry
Find the distance between the points (1, 2, 3) and (4, 6, 3).
Introduction to Three-Dimensional Geometry
Name the eight octants of three-dimensional space and state the signs of the coordinates in the first octant.
Introduction to Three-Dimensional Geometry
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets
Prove that cos 2A = 1 − 2sin2A.
Trigonometric Functions