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Find the Shortest Distance Between Lines `Vecr = 6hati + 2hatj + 2hatk + Lambda(Hati - 2hatj + 2hatk)` and `Vecr =-4hati - Hatk + Mu(3hati - 2hatj - 2hatk)` - CBSE (Science) Class 12 - Mathematics

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Question

Find the shortest distance between lines `vecr = 6hati + 2hatj + 2hatk + lambda(hati - 2hatj + 2hatk)` and `vecr =-4hati - hatk + mu(3hati - 2hatj - 2hatk)`

Solution

The given lines are

Therefore, the shortest distance between the two given lines is 9 units.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 11: Three Dimensional Geometry
Q: 9 | Page no. 498
Solution Find the Shortest Distance Between Lines `Vecr = 6hati + 2hatj + 2hatk + Lambda(Hati - 2hatj + 2hatk)` and `Vecr =-4hati - Hatk + Mu(3hati - 2hatj - 2hatk)` Concept: Shortest Distance Between Two Lines.
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