Find the angel between the following pairs of vectors `2hati-3hatj+hatk, 3hati-hatj-2hatk`

Find the angel between the following pairs of vectors hati+hatj-hatk, hati-hatj+hatk

Find the angle between the following pairs of vectors 3hati+2hatj-6hatk, 4hati-3hatj+hatk , hati-2hatj+3hatk, 3hati-2hatj+hatk

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

Find the angle between the following pairs of lines. (i) hatr = 2hati-5hatj+hatk+lambda(3hati+2hatj+6hatk) and vecr = 7 hati-6hatk+mu(hati+2hatj+2hatk) (ii) vecr = 3hati+hatj-2hatk+lambda(hati-hatj-2hatk) and vecr= 2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

Find the shortest distance between the following pair of line: vecr=hati+2hatj+3hatk+lamda(hati-3hatj+2hatk) and vecr=4hati+5hatj+6hatk+mu(2hati+3hatj+hatk)

Find the shortest distance between the following pair of line: vecr=hati+2hatj+hatk+lamda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk)

Find the shortest distance between the following pair of line: vecr=hati+hatj+lamda(2hati-hatj+2hatk), vecr=2hati+hatj-hatk+mu(3hati-5hatj+2hatk)

Find the angle between each of the following pair of line: vecr=5hati-7hatj+lamda(-hati+4hatj+2hatk) vecr=-2hati+hatk+mu(3hati+3hatk)

Find the shortest distance between the following pair of line: vecr=hati+2hatj-4hatk+lamda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk) .

Find the angle between the following vectors : (i) veca = 2hati-6hatj+3hatk and vecb = hati+2hatj-2hatk (ii) veca=6hati+3hatj-2hatk and vecb=4hati-2hatj+9hatk