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

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

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

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

Find the angles between the following pairs of vectors : vec A= -2hati + 2hatj -hatk and vec B=3hati +6hatj +2hatk .

Find the angles between the following pairs of vectors : vec A= 2hati - 4hatj+ 6hatk and vec B=3hati +hatj +2hatk .

Find the angles between the following pairs of vectors : vec A= hati + hatj + hatk and vec B = -2hati-2hatj-2hatk .

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 angles between the following pairs of vectors: (i) vec(A) = hati + hatj +hatk and vec(B) =- 2hati - hatj - 2 hatk . (ii) vec(A) =- 2hati +2hatj - hatk and vec(B) = 3hati + 6 hatj +2 hatk (iii) vec(A) = 4 hati +6 hatj - 3 hatk and vec(B) =- 2hati - 5hatj +7 hatk

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)