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Find the distance between the lines vecr...

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

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

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

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Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

Find the sine of the angle between the vectors hati+2hatj+2hatkand3hati+2hatj+6hatk .

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 angle between the planes whose vector equations are vecr.(2hati+2hatj-3hatk)=5 and vecr.(3hati-3hatj+5hatk)=3