Class 12 Exam > Class 12 Questions > If two lines L1 and L2 are having direction c...
Start Learning for Free
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?
- a)cotθ=|l1l2+m1m2+n1n2|
- b)sinθ=|l1l2+m1n2+n1m2|
- c)tanθ=|l1l2+m1m2+n1n2|
- d)cosθ=|l1l2+m1m2+n1n2|
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,...
The angle between two lines can be found using the formula:
cosθ = (l1*l2 + m1*m2 + n1*n2) / (sqrt(l1^2 + m1^2 + n1^2) * sqrt(l2^2 + m2^2 + n2^2))
where θ is the angle between the two lines.
Therefore, the angle between lines L1 and L2 is:
θ = cos^-1((l1*l2 + m1*m2 + n1*n2) / (sqrt(l1^2 + m1^2 + n1^2) * sqrt(l2^2 + m2^2 + n2^2)))
This formula can be simplified using trigonometric identities such as cotθ = 1/tanθ.
Therefore, the answer cannot be simply cot as it depends on the values of l1, m1, n1, l2, m2, and n2.
cosθ = (l1*l2 + m1*m2 + n1*n2) / (sqrt(l1^2 + m1^2 + n1^2) * sqrt(l2^2 + m2^2 + n2^2))
where θ is the angle between the two lines.
Therefore, the angle between lines L1 and L2 is:
θ = cos^-1((l1*l2 + m1*m2 + n1*n2) / (sqrt(l1^2 + m1^2 + n1^2) * sqrt(l2^2 + m2^2 + n2^2)))
This formula can be simplified using trigonometric identities such as cotθ = 1/tanθ.
Therefore, the answer cannot be simply cot as it depends on the values of l1, m1, n1, l2, m2, and n2.
Free Test
FREE
| Start Free Test |
Community Answer
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,...
If two lines L1 and L2 are having direction cosines l1,m1,n1 and l2,m2,n2 respectively, then the angle between the lines is given by cosθ=|l1l2+m1m2+n1n2|
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer?
Question Description
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer?.
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer?.
Solutions for If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If two lines L1 and L2 are having direction cosines l1,m1,n1and l2,m2,n2 respectively, then what is the angle between the two lines?a)cotθ=|l1l2+m1m2+n1n2|b)sinθ=|l1l2+m1n2+n1m2|c)tanθ=|l1l2+m1m2+n1n2|d)cosθ=|l1l2+m1m2+n1n2|Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup