a³+b³+c³-3abc=

IF a+b+c=0 the show that axb=bxc=cxa.

How to prove by vector method that internal angle bisectors of a triangle are concurrent ?

If a,b,c are three mutually perpendicular vectors of equal magnitude, find the angle between vectora and a+b+c

if the sum of two unit vectors is the unit vector then prove that the magnitude of their difference is root 3

bold letters=vector

if a x b=c x d and a x c= b x d show that (a-d) is parallel to (b-c) wher a isnot =d and b isnot=c

if vectors a,b and c are coplanar then prove that vector a+b,b+c,c+a are coplanar

find the equation of plane passing through point(0,7,-7) and containing line x+1/-3=y-3/2=z+2/1

if the vectors A= ai+j+k , B=i+bj+k C=i+j+ck are coplanar . then show that (1/1-a) + (1/1-b)+(1/1-c) =1

if a+b+c=0, |a|=3, |b|=5, |c|=7. Prove that the angle between a and b is 60 degrees (a, b and c are vectors)

using vectors show that the angle in a semicircle is a right angle

if |a+b|=|a-b|, then what is the angle between the vectors a and b?