Statement 1: In `"Delta"A B C , vec A B+ vec BC+ vec C A=0` Statement 2: If ` vec O A= vec a , vec O B= vec b ,t h e n vec A B= vec a+ vec b`

[vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a, vec b, vec c]

In a triangle OAC, if B is the mid point of side AC and vec O A= vec a , vec O B= vec b , then what is vec O C ?

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

Consider Delta ABC with A = (vec a); B = ([vec bvec b]) and C = (vec c). If vec b * (vec a + vec c) = vec b * vec b + vec a * vec c; | vec b-vec a | = 3; | vec c-vec b | = 4 then the angle between the medians Avec M and Bvec D is

vec a + vec b + vec c = vec 0, | vec a | = 3, | vec b | = 5, | vec c | = 7 then angle between vec a and vec b is

[vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

A B C D E is pentagon, prove that vec A B + vec B C + vec C D + vec D E+ vec E A = vec0 vec A B+ vec A E+ vec B C+ vec D C+ vec E D+ vec A C=3 vec A C

[[vec a + vec b-vec c, vec b + vec c-vec a, vec c + vec a-vec b is equal to

If vec a + vec b = vec c and | vec a | = | vec b | = | vec c | find the angle between vec a and vec b

In each of the following, fill in the blank so that the resulting statement is correct. If vec a, vec b, vec c are three unit vectors such that vec a= lambda vec b + mu vec c an vec a * vec b=0, vec a * vec c=1/2 then |vec b * vec c|= ___________.