Find the equation of the line perpendicu...

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)

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

Find cartesian equations of the plane containing the lines: vecr=2hati+hatj-3hatk+lambda(hati+2hatj+5hatk) and vecr=3hati+3hatj-7hatk+mu(3hati-2hatj+5hatk)

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

Show that the lines vecr=hati+hatj+hatk+lambda(hati-hatj+hatk) and vecr=4hatj+2hatk+mu(2hati-hatj+3hatk) are coplanar.

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 shortest distance between the lines given by the line : vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=4hati+hatk+mu(3hati-2hatj-2hatk) .

Find the angle between the lines vecr=2hati+3hatj-4hatk+lambda(2hati+1hatj+2hatk) and vecr=2hati-5hatk+mu(6hati+3hatj+2hatk)

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

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

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

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