JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math
Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the concept of coplanarity in three-dimensional geometry? |  |
Ans. Coplanarity refers to the property of points, lines, or vectors lying on the same plane. In the context of two lines in three-dimensional space, if the lines are coplanar, it means they lie on the same plane. This means that the two lines can be contained within a single plane and do not intersect. Conversely, if the lines are not coplanar, they will intersect or be skew lines.
| 2. How can we determine if two lines are coplanar? | |
Ans. To determine if two lines are coplanar, we can use the concept of vector equations. If the direction vectors of the two lines are proportional, then the lines are coplanar. Alternatively, we can find a point that lies on both lines and check if this point, along with the direction vectors of the lines, lies on the same plane. If they do, then the lines are coplanar.
| 3. What is the angle between two planes in three-dimensional geometry? | |
Ans. The angle between two planes in three-dimensional geometry is the angle formed between the normals of the planes. The normal vectors of the two planes are perpendicular to the planes and can be used to determine the angle between them. This angle represents the inclination or deviation of one plane from another.
| 4. How can we calculate the angle between two planes using their normal vectors? | |
Ans. To calculate the angle between two planes using their normal vectors, we can use the dot product formula. Let n1 and n2 be the normal vectors of the two planes. The angle θ between the planes is given by the equation: θ = cos^(-1)(|n1 · n2| / (|n1| * |n2|)), where · represents the dot product and | | represents the magnitude of the vectors.
| 5. How does the angle between two planes relate to the coplanarity of lines? | |
Ans. The angle between two planes is related to the coplanarity of lines because if two lines are coplanar, they lie on the same plane. Therefore, the angle between the two planes containing these lines will be zero degrees. Conversely, if the angle between two planes is zero degrees, it implies that the lines contained in those planes are coplanar. So, the coplanarity of lines can be determined indirectly by analyzing the angle between the planes that contain them.
Related Exams
About this Video
|
4.96/5 Rating |
|
Dec 22, 2024 Last updated |
Video Description: Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math have been prepared according to the JEE exam syllabus.
Information about Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math.
Introduction of Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math in English is available as part of our Mathematics (Maths) Class 12 for JEE & Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math 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 Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math 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 Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math
Here you can find the meaning of Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math defined & explained in the simplest way possible.
Besides explaining types of Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math theory, EduRev gives you an ample number of questions to practice Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math 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
Viva Questions
,Free
,Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry
,ppt
,Math Video Lecture | Mathematics (Maths) Class 12 - JEE
,Objective type Questions
,Previous Year Questions with Solutions
,Class 12
,Exam
,Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry
,Semester Notes
,Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry
,Math Video Lecture | Mathematics (Maths) Class 12 - JEE
,MCQs
,Class 12
,shortcuts and tricks
,practice quizzes
,study material
,Summary
,Sample Paper
,video lectures
,Class 12
,Math Video Lecture | Mathematics (Maths) Class 12 - JEE
,mock tests for examination
,past year papers
,Extra Questions
,Important questions
;
Study Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math on the App
Students of JEE can study Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math,
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 Coplanarity of 2 Lines and Angle between 2 Planes - Three Dimensional Geometry, Class 12, Math 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