Find as unit vector paralel to the sum of the vectors `2hati+3hatj-5hatk and hati+2hatj+3hatk`

The unit vector parallel to the resultant of the vectors 2hati+3hatj-hatk and 4hati-3hatj+2hatk is

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of the vectors 2hati+4hatj-5hatk and lamda hati+2hatj+3hatk is equal to one. Find the value of lamda .

Find the unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk .

Find a unit vector perpendicular to each of the vectors hati+2hatj-3hatk and hati-2hatj+hatk .

Find a unit vector perpendicular to both the vectors (2hati+3hatj+hatk) and (hati-hatj+2hatk) .

Find a unit vector perpendicular to both the vectors 2hati+3hatj+hatk) and (hati-hatj+2hatk) .

Find a unit vector perpendicular to both the vectors hati-2hatj+hatk and hati+2hatj+hatk .

Find the unit vector perpendicular to the two vectors hati+2hatj-hatk and 2hati+3hatj+hatk .

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors " "veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .