JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry
Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What are direction cosines and direction ratios of a line? |  |
Ans. Direction cosines and direction ratios are mathematical concepts used to describe the orientation of a line in three-dimensional space. Direction cosines are the cosines of the angles that the line makes with the coordinate axes, while direction ratios are the ratios of the line's components along the axes.
| 2. How can direction cosines be calculated? | |
Ans. To calculate the direction cosines of a line given by its direction ratios (a, b, c), divide each direction ratio by the magnitude of the line's direction vector. The direction cosines are then given by (a/m, b/m, c/m), where m is the magnitude of the direction vector.
| 3. What is the significance of direction cosines in three-dimensional geometry? | |
Ans. Direction cosines provide a way to quantify the orientation of a line in three-dimensional space. They can be used to determine the angles between two lines, find the angle between a line and a plane, or determine if two lines are parallel or perpendicular to each other.
| 4. How are direction ratios related to direction cosines? | |
Ans. Direction ratios and direction cosines are related through a set of equations. Given direction ratios (a, b, c), the direction cosines are calculated by dividing each direction ratio by the magnitude of the line's direction vector. Conversely, given direction cosines (l, m, n), the direction ratios can be obtained by multiplying each direction cosine by the magnitude of the line's direction vector.
| 5. Can direction cosines be negative? | |
Ans. Yes, direction cosines can be negative. The sign of the direction cosine depends on the orientation of the line with respect to the coordinate axes. A positive direction cosine indicates that the line makes an acute angle with the corresponding axis, while a negative direction cosine indicates an obtuse angle.
Related Exams
About this Video
|
4.75/5 Rating |
|
Dec 22, 2024 Last updated |
Video Description: Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry have been prepared according to the JEE exam syllabus.
Information about Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry.
Introduction of Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry in English is available as part of our Mathematics (Maths) Class 12 for JEE & Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry in
Hindi for Mathematics (Maths) Class 12 course. Download more important topics related with notes, lectures and mock test series for
JEE Exam by signing up for free.
Description
Video Lecture & Questions for Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) Class 12.
Information about Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry
Here you can find the meaning of Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry defined & explained in the simplest way possible.
Besides explaining types of Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry theory, EduRev gives you an ample number of questions to practice Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry tests,
examples and also practice JEE tests.
|
204 videos|290 docs|139 tests
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Summary
,practice quizzes
,Exam
,past year papers
,Viva Questions
,ppt
,Free
,Sample Paper
,Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
,Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
,Semester Notes
,MCQs
,Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
,study material
,mock tests for examination
,Important questions
,Previous Year Questions with Solutions
,shortcuts and tricks
,Extra Questions
,video lectures
,Objective type Questions
;
Study Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry on the App
Students of JEE can study Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Direction Cosines and Direction Ratios of a Line- Three Dimensional Geometry is prepared as per the latest JEE syllabus.
|
© 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