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Find the shortest distance betweeen the line `l_(1)` and `l_(2)` whose vector equations are `vecr=hati+hatj+lamda(2hati-hatj+hatk)` and `vecr=2hati+hatj+lamda(3hati-5hatj+2hatk)`

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The correct Answer is:
`10/(sqrt(59))`
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Find the angle between the planes whose vector equations are vecr.(2hati+2hatj-3hatk)=5 and vecr.(3hati-3hatj+5hatk)=3

Find the shortest distance betweenn the lines. vecr=hati+hatj+lamda(2hati-hatj+hatk) vecr=2hati+hatj-hatk+mu(3hati-5hatj+2hatk) .

Find the distance between the lines vec(l_(1))andvec(l_(2)) given by vec(l_(1))=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk)andvec(l_(2))=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk) .

Find the distance between the lines vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hattj+6hatk) .

Find the angle between the pair of lines given by vecr = 2hati - 5hatj + hatk + lambda (3hati +2hatj+6hatk) and vecr =7hati - 6hatk + mu(hati +2hatj + 2hatk)

Find the angle between the pair of lines given by vecr=2hati-5hatj+hatk+lambda(3hati+2hatj+6hatk), vecr=7hati-6hatk+mu(hati+2hatj+2hatk)

The vectors lamda hati + hatj + 2 hatk, hati + lamda hatj - hatk and 2 hati - hatj + lamda hatk are coplanar if :

The distance between the line : vecr.=2hati-2hatj+3hatk+lambda(hati-hatj-4hatk) and the plane vecr.(hati+5hatj+hatk)=5 is :

A vector perpendicular to both the vectors (2hati+3hatj+hatk) and (hati-hatj+2hatk) is

SUNSTAR PUBLICATION-SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014-PART-C
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