Skew lines derivation in Kannada | Shortest distance between lines Class 12 | 3D Geometryj

Karnataka PUC 2nd year Mathematics important question for class 12 [Board examination 2023-24]
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Hi dear students i explained shortest distance between skew lines both in vector and Cartesian form.
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron.
How do you find the distance between skew lines in 3D?
How do you find the skew of a line in 3D?
How do you know if two 3D lines are skew?
Skew lines in 3 dimensions are those which are not parallel and do not intersect. First we need to show that they are not parallel. To do this we take the direction vectors (the second part with λ or µ constats) and check that one is not a multiple of the other.
Skew lines are defined as lines that are not parallel and do not intersect. Parallel lines are coplanar (they lie in the same plane) and they do not intersect. On a single plane, two lines must either be intersecting or parallel, so skew lines are defined in three-dimensional space.
What is the distance between the skew lines?
Distance between two Straight Lines
The shortest distance between parallel lines is calculated as follows:
Let the equations of two parallel lines be y=mx+c1and y=mx+c2.
Using the distance formula,d=|c2−c1|√1+m2 we can find the shortest distance between the parallel lines.

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[@Karnatakapuc]

👍👍

[@Janapada_143]

😅

[@manvithamunchikana4881]

Thank you sir🙏🙏

[@user-mo2ht3ee9c]

Sir teaching method is super sir ❤❤,

[@gowshika7219]

Awesome sir ❤

[@mariadeena8738]

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[@Karnatakapuc]

Ok

[@Sarupatil2ndPUC]

Sir please make derivation videos of 11.5.2 distance between parallel lines 3D GEOMETRY 🙏🙏🙏🙏🙏🙏🙏 Other 2 derivations I have done ✔️

[@Karnatakapuc]

Ok

[@user-cx8km7gx5m]

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[@Karnatakapuc]

Ok

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[@Karnatakapuc]

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[@user-sm1kg9vv1g]

Sir nim voice shankar nag sir thara anustu but channagi helkotri nange artha aaytu thanku sir❤

[@AbhidyuGowdaMC]

Hi sir, last Cartesian equation part in denominator it is (c1a2-c2a1)², in ncert textbook its given like this

[@Karnatakapuc]

Both are correct... Square is there so gives same result..

[@sarcasmicbalak]

sir is this derivation imp for board exam

[@rvce-ju7pb]

Yes

[@sushanthkn6894]

​@@rvce-ju7pb it is reduced right?

[@SwiftShipAe]

​@@sushanthkn6894just check, they might not give, just for safety study

[@sushanthkn6894]

@@SwiftShipAe it is reduced don't study