A parallelogram is constructed on the vectors `veca=3vecalpha-vecbeta, vecb=vecalpha+3vecbeta. If |vecalpha|=|vecbeta|=2` and angle between `vecalpha and vecbeta is pi/3` then the length of a diagonal of the parallelogram is

Consider a parallelogram constructed on the vectors vecA=5vecp+2vecq and vecB=vecp-3vecq . If |vecp|=2, |vecq|=5 , the angle between vecp and vecq is (pi)/(3) and the length of the smallest diagonal of the parallelogram is k units, then the value of k^(2) is equal to

IF |veca|=sqrt(3), |vecb|=2 and |veca-vecb|=3 find the angle between veca and vecb .

Three vectors veca,vecb,vecc are such that veca xx vecb=4(veca xx vecc) and |veca|=|vecb|=1 and |vecc|=1/4 . If the angle between vecb and vecc is pi/3 then vecb is

If angle between veca and vecb is pi/3 , then angle between veca and -3vecb is

A parallelogram is constructed on 3veca+vecb and veca-4vecb, where |veca|=6 and |vecb|=8 and veca and vecb are anti parallel then the length of the longer diagonal is (A) 40 (B) 64 (C) 32 (D) 48

A parallelogram is constructed on 3veca+vecb and veca-4vecb, where |veca|=6 and |vecb|=8 and veca and vecb are anti parallel then the length of the longer diagonal is (A) 40 (B) 64 (C) 32 (D) 48

If veca and vecb are unit vectors such that (veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0 then angle between veca and vecb is

If veca,vecb are two unit vectors such that |veca + vecb| = 2sqrt3 and |veca -vecb|=6 then the angle between veca and vecb , is

Let veca, vecb, vecc be three unit vectors and veca.vecb=veca.vecc=0 . If the angle between vecb and vecc is pi/3 then find the value of |[veca vecb vecc]|

Let the vectors veca and vecb be such that |veca|=3and|vecb|=sqrt2/3"then|" vecaxxvecb is a unit vector. If the angle between veca and vecb is ?