Given three vectors `a=6hati-3hatj,b=2hati-6hatj and c=-2hati+21hatj` such that `alpha=a+b+c`. Then, the resolution of the vector `alpha` into components with respect to a and b is given by

Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+21hatj such that vecalpha=veca+vecb+vecc . Then the resolution of te vector vecalpha into components with respect to veca and vecb is given by (A) 3veca-2vecb (B) 2veca-3vecb (C) 3vecb-2veca (D) none of these

Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+21hatj such that vecalpha=veca+vecb+vecc . Then the resolution of te vector vecalpha into components with respect to veca and vecb is given by (A) 3veca-2vecb (B) 2veca-3vecb (C) 3vecb-2veca (D) none of these

Three vectors a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk , then the unit vector perpendicular to both a+b and b+c is

Vector bar(a)=6hati-3hatj,bar(b)=2hati-6hatj and bar( c )=-2hati+21hatj are such that bar(alpha)=bar(a)+bar(b)+bar( c ) . The vector bar(alpha) is represented as …………….. A component of bar(a) and bar(b) .

If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = hati + alpha hatj are coplanar vector , then the value of alpha is :