Find the angle made by the following vector with the coordinates axes:
`(hati+hatj+hatk)`
`(hatj-hatk)`
`(hati-4hatj+8hatk)`

Find the angles made by the vector vecr=(hati+hatj-hatk) with the coordinate axes.

Find the angles at which the following vectors are inclined to each of the coordinates axes: 4hati+8hatj+hatk .

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .

Prove that the following vectors are at righat angle: 2hati+5hatj+hatk, 3hati-2hatj+4hatk

Show that the following vectors are coplanar : hati-hatj+hatk,6hati-hatk and 4hati+2hatj-3hatk .

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 pairs of vectors 3hati+2hatj-6hatk, 4hati-3hatj+hatk , hati-2hatj+3hatk, 3hati-2hatj+hatk

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

Show that the following vectors are collinear : 2hati-3hatj+4hatk and -4hati+6hatj-8hatk .

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)