Direction cosines/ratios, lines, planes, angle between lines and planes, distance formulas.
Study notes are still being prepared.
Don't wait — Shishya can teach you this topic right now, on demand.
Ask Shishya to teach this →Shishya is your personal tutor for this topic. Pick a starter or open a free chat.
Q1 · Three-Dimensional Geometry (Class 12) · EASY
Find the direction cosines of a line which makes equal angles with the positive directions of the coordinate axes.
Q2 · Three-Dimensional Geometry (Class 12) · MEDIUM
The equation of the plane passing through the point (2, 3, 1) and perpendicular to the vector 3i - 2j + 4k is:
Q3 · Three-Dimensional Geometry (Class 12) · HARD
Find the shortest distance between the lines: (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-4)/4 = (z-5)/5.
Q4 · Three-Dimensional Geometry (Class 12) · MEDIUM
The equation of the plane passing through the point (3, -2, 1) and perpendicular to the vector 2î - ĵ + 3k̂ is: