Find the angle between the following pai...

Find the angle between the following pairs of lines : `vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk)`, `vecr=5hatj-2hatk+mu(3hati+2hatj+6hatk)`

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Find the angle between the following pair of lines : vecr=hati+hatj-hatk+lambda(hati-3hatj+2hatk), vecr=2hati-hatj+hatk+mu(3hati+hatj-2hatk)

Find the angle between the pair of lines given by vecr = 3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr = 5hati-2hatj+mu(3hati+2hatj+6hatk)

Find the angle between the following pair of lines: vecr = 3hati+hatj-2hatk + lambda(hati-hatj-2hatk) and vecr = 2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

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

Find the angles between each of the following pairs of lines: vecr=4hati-hatj+lambda(hati+2hatj-hatk) and vecr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the shortest distance between each of the following pair of lines: vecr=3hati+5hatj+7hatk+lambda(hati-2hatj+7hatk) and vecr=-hati-hatj-hatk+mu(7hati-6hatj+hatk) .

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

Determine whether or not the following pairs of lines intersect : vecr=(hati-2hatj+3hatk)+lambda(-hati+hatj-2hatk) and vecr=(hati-hatj-hatk)+mu(hati+2hatj-2hatk)

Find the equation of the line perpendicular to the lines : vecr=(3hati+2hatj-4hatk)+lambda(hati+2hatj-2hatk) and vecr=(5hatj-2hatk)+mu(3hati+2hatj+6hatk) and passing through the point (1,1,1)

Find the angle between the lines vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr=8hati-2hatj+mu(3hati+2hatj+5hatk) .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE

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