If `vec|a|=3,|vecb|=4,and |veca+vecb|=5, then |veca-vecb|` is equal to (A) 6 (B) 5 (C) 4 (D) 3

If |veca|=|vecb| , then (veca+vecb).(veca-vecb) is equal to

If |veca|=5 , |veca-vecb| = 8 and |veca +vecb|=10 then find |vecb|

If veca,vecb,vecc are three unit vectors such that veca+vecb+vecc=0, then veca.vecb+vecb.vecc+vecc.veca is equal to (A) -1 (B) 3 (C) 0 (D) -3/2

Statement 1 : If |veca | = 3, |vecb| = 4 and |veca + vecb| = 5 , then |veca - vecb|=5 . Statement 2 : The length of the diagonals of a rectangle is the same.

If veca,vecb,vecc are perpendicular to vecb+vecc,vecc+veca and veca+vecb respectively and if |veca+vecb|=6,|vecb+vecc|=8 and |vecc+veca|=10,then |veca+vecb+vecc| (A) 5sqrt(2) (B) 50 (C) 10sqrt(2) (D) 10

If veca and vec b are non-zero, non-collinear vectors such that |veca|=2, veca*vecb=1 and angle between veca and vec b is (pi)/(3) . If vecr is any vector such that vecr*veca=2, vecr*vecb=8, (vec r+2veca-10vecb)*(vecaxxvecb)=4sqrt(3) and satisfy to vecr+2veca-10vecb=lambda(veca xx vec b) , then lambda is equal to : (a) 1/2 (b) 2 (c) 1/4 (d) none of these

If |veca| = 2, |vecb| =4 ,( veca , vecb )=( pi )/6 then | veca X vecb |^(2) = 1) 16 2) 2 3) 775 4) 36

If veca is perpendicuar to vecb and vecc |veca|=2, |vecb|=3,|vecc|=4 and the angle between vecb and vecc is (2pi)/3, then [veca vecb vecc] is equal to (A) 4sqrt(3) (B) 6sqrt(3) (C) 12sqrt(3) (D) 18sqrt(3)

If veca, vecb and vecc are vectors such that |veca|=3,|vecb|=4 and |vecc|=5 and (veca+vecb) is perpendicular to vecc,(vecb+vecc) is perpendicular to veca and (vecc+veca) is perpendicular to vecb then |veca+vecb+vecc|= (A) 4sqrt(3) (B) 5sqrt(2) (C) 2 (D) 12

Let veca and vecb are vectors such that |veca|=2, |vecb|=3 and veca. vecb=4 . If vecc=(3veca xx vecb)-4vecb , then |vecc| is equal to