JEE Exam > JEE Videos > Mathematics (Maths) for JEE Main & Advanced > Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point
Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video Lecture | Mathematics (Maths) for JEE Main & Advanced
|
209 videos|443 docs|143 tests
|
FAQs on Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the equation of a plane perpendicular to a given vector and passing through a given point? |  |
Ans. The equation of a plane perpendicular to a given vector and passing through a given point can be determined using the dot product. Let's say the given vector is represented by the components (a, b, c) and the given point is (x0, y0, z0). The equation of the plane can be written as ax + by + cz = d, where d = ax0 + by0 + cz0.
| 2. How can I find the normal vector of a plane given its equation? | |
Ans. The normal vector of a plane can be determined directly from its equation. If the equation of the plane is ax + by + cz = d, then the coefficients (a, b, c) give the components of the normal vector. Thus, the normal vector can be written as (a, b, c).
| 3. Can a plane have more than one normal vector? | |
Ans. No, a plane cannot have more than one normal vector. The normal vector of a plane is unique and is perpendicular to the plane. Any vector that is perpendicular to the plane can be considered as the normal vector, but they are all equivalent in terms of their direction and magnitude.
| 4. If a plane is parallel to a coordinate axis, what can we say about its normal vector? | |
Ans. If a plane is parallel to a coordinate axis, then its normal vector will be perpendicular to that particular axis. For example, if a plane is parallel to the x-axis, then its normal vector will have the form (0, b, c), where b and c can be any real numbers.
| 5. How can I determine if two planes are parallel or perpendicular to each other? | |
Ans. Two planes are parallel if their normal vectors are parallel or proportional to each other. In other words, the cross product of their normal vectors will be zero or the components of the normal vectors will be in the same ratio. Two planes are perpendicular if their normal vectors are perpendicular to each other, which means their dot product will be zero.
Related Exams
About this Video
|
4.72/5 Rating |
|
Nov 24, 2024 Last updated |
Video Description: Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
The notes and questions for Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point have been prepared according to the JEE exam syllabus.
Information about Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point.
Introduction of Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point in English is available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point in
Hindi for Mathematics (Maths) for JEE Main & Advanced 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 Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video Lecture | Mathematics (Maths) for JEE Main & Advanced - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) for JEE Main & Advanced.
Information about Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point
Here you can find the meaning of Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point defined & explained in the simplest way possible.
Besides explaining types of Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point theory, EduRev gives you an ample number of questions to practice Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point tests,
examples and also practice JEE tests.
|
209 videos|443 docs|143 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
Previous Year Questions with Solutions
,MCQs
,ppt
,Semester Notes
,Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video Lecture | Mathematics (Maths) for JEE Main & Advanced
,Extra Questions
,Objective type Questions
,Sample Paper
,Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video Lecture | Mathematics (Maths) for JEE Main & Advanced
,Free
,video lectures
,Exam
,Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point Video Lecture | Mathematics (Maths) for JEE Main & Advanced
,Viva Questions
,Important questions
,past year papers
,mock tests for examination
,Summary
,practice quizzes
,study material
,shortcuts and tricks
;
Study Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point on the App
Students of JEE can study Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point,
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 Examples: Equation of a Plane Perpendicular to a given Vector and passing through a given point is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup