Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
130 views
in 3D Coordinate Geometry by (44.7k points)
closed by

Find the direction cosines of a line segment whose direction ratios are:

(i) 2. – 6, 3

(ii) 2, - 1, - 2,

(iii) – 9, 6, -2

1 Answer

+1 vote
by (42.5k points)
selected by
 
Best answer

(i) direction ratios are:- (2, -6, 3) 

So, the direction cosines are- (l, m, n), where,I2 + m2 + n2 = 1,

So, l, m, and n are:-

The direction cosines are:-  \(\Big(\frac{2}{7},-\frac{6}{7}.\frac{3}{7}\Big)\)

(ii) direction ratios are:- (2, -1, -2) 

So, the direction cosines are:- (l, m, n), where,I2 + m2 + n2 = 1,

So, l, m, and n are:-

The direction cosines are:- \(\Big(\frac{2}{3},-\frac{1}{3}.\frac{-2}{3}\Big)\)

(iii) direction ratios are:- (-9, 6, -2) 

So, the direction cosines are- (l, m, n), where,I2 + m2 + n2 = 1, 

So, l, m, and n are:-

The direction cosines are:   \(\Big(\frac{-9}{11},-\frac{6}{11}.\frac{-2}{11}\Big)\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...