JEE Exam  >  JEE Questions  >  The directional cosines of the line which is ... Start Learning for Free
The directional cosines of the line which is perpendicular to the lines with direction cosines
proportional to 6,4,–4 and –6,2,1 is
  • a)
    2,3,6
  • b)
    2/7,3/7,6/7
  • c)
    2/3,1,2
  • d)
    1/3,3/2,3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The directional cosines of the line which is perpendicular to the line...
Solution:

Given the direction cosines of two lines as:

Line 1: 6, 4, -4 (let's call it A)

Line 2: -6, 2, 1 (let's call it B)

Now, we need to find the direction cosines of a line that is perpendicular to both A and B.

Let's call the direction cosines of this new line as l, m, n.

Since this line is perpendicular to A and B, the dot product of the direction cosines of the new line and A and B will be zero.

l*6 + m*4 - n*4 = 0

-l*6 + m*2 + n*1 = 0

Solving these equations, we get:

l = 2/7

m = 3/7

n = 6/7

Therefore, the direction cosines of the line perpendicular to the lines with direction cosines proportional to 6, 4, -4 and -6, 2, 1 are 2/7, 3/7, 6/7. Hence, the correct answer is option B.
Free Test
Community Answer
The directional cosines of the line which is perpendicular to the line...
Explore Courses for JEE exam
The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer?
Question Description
The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer?.
Solutions for The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The directional cosines of the line which is perpendicular to the lines with direction cosinesproportional to 6,4,–4 and –6,2,1 isa)2,3,6b)2/7,3/7,6/7c)2/3,1,2d)1/3,3/2,3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev