EASY
12th CBSE
IMPORTANT
Earn 100

If a line has direction ratios 2, −1, −2, determine its direction cosines.

Important Questions on Directions Cosines and Direction Ratios

EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 3
Find the direction cosines of the line passing through two points (−2, 4, −5) and (1, 2, 3) .
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 4
Using direction ratios show that the points A(2,3,−4),B(1,−2,3) and C(3,8,−11) are collinear.
MEDIUM
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 5
Find the direction cosines of the sides of the triangle whose vertices are (3, 5, −4), (−1, 1, 2) and (−5, −5, −2).
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 6
Find the angle between the vectors with direction ratios proportional to 1, -2, 1 and 4, 3, 2.
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 7
Find the angle between the vectors whose direction cosines are proportional to 2, 3, −6 and 3, −4, 5.
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 8
Find the acute angle between the lines whose direction ratios are proportional to 2:3:6 and 1:2:2.
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 9
Show that the points (2,3,4), (-1,-2,1), (5,8,7) are collinear.
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-2>Chapter 8 - Directions Cosines and Direction Ratios>EXERCISE>Q 10
Show that the line through points (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (−1, −2, 1) and (1, 2, 5).