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

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 veca & vecB .

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

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

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

The vectors are given below veca = hati + 2hatj +3hatk vecb = 2hati + 4hatj + 6hatk and vecc = 3hati + 6hatj + 9 hatk find the components of the vector veca + 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.

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

(i) Find the sum of vectors veca=hati-2hatj+hatk , vecb=-2hati+4hatj+5hatk , and vecc=hati-hatj-7hatk (ii) Find the magnitude of the vector veca=3hati-2hatj+6hatk .

If veca=hati-2hatj+3hatk, vecb=2hati+3hatj-hatk and vecc=rhati+hatj+(2r-1)hatk are three vectors such that vecc is parallel to the plane of veca and vecb then r is equal to,