If `veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk` find a unit vector parallel to ther vector `2veca-vecb+3cevc`.

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

If vecA= 6hati- 6hatj+5hatk and vecB= hati+ 2hatj-hatk , then find a unit vector parallel to the resultant of vecaA & vecB .

If veca=hati+2hatj-hatk and vecb=3hati+hatj-hatk find a unit vector int direction of veca-vecb .

If veca = (hati - 2hatj -3hatk) and vecb = (2hati + 4hatj +9 hatk) then find a unit vector parallel to (veca + vecb) .

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca = 2 hati - 3hatj, vecb = hati + hatj -hatk, vecc = 3hati - hatk, find [a vecb vecc]

If vecA= hati+2hatj+3hatk, vecB=-hati+hatj + 4hatk and vecC= 3hati-3hatj-12hatk , then find the angle between the vector (vecA+vecB+vecC) and (vecAxx vecB) in degrees.

If veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc is a unit vector perpendiculr to the vector veca and coplanar with veca and vecb , then a unit vector vecd perpendicular to both veca and vecc is

If a=4hati+2hatj-hatk and vecb=5hati+2hatj-3hatk find the angle between the vectors veca+vecb and veca-vecb

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by