If `A=(0,1)B=(1,0),C=(1,2),D=(2,1)` , prove that ` vec A B= vec C Ddot`

If =(0,1)B=(1,0),C=(1,2),D=(2,1) ,prove that vec AB=vec CD

Let A(2,-1), B(-1,2), C(3,1) and D(0,4) . Show that vec (AB)= vec (CD) .

If D is the mid-point of the side B C of a triangle A B C , prove that vec A B+ vec A C=2 vec A Ddot

If vec A=(1,1,1),vec C=(0,1,-1) are given vectors,then prove that a vector vec B satisfying the equations vec A xxvec B=vec C and vec A*vec B=3 is ((5)/(3),(2)/(3),(2)/(3))

If vec(a)=(2,1,-1), vec(b)=(1,-1,0), vec(c)=(5, -1,1) , then what is the unit vector parallel to vec(a)+vec(b)-vec(c) in the opposite direction ?

If vec A=(1,1,1) , vec C=(0,1,-1) are two given vectors, then find a vector vec B satisfying the equations vec A xx vec B=vec C and vec A * vec B=3 .

If vec a=(-1,1,2);vec b=(2,1,-1);vec c=(-2,1,3) then the angle between 2vec a-vec c and vec a+vec b is

If vec(a)= (2, 1, -1), vec(b) = (1, -1, 0), c= (5, -1, 1) , then what is the unit vector parallel to vec(a) +vec(b)- vec(c ) in the oppoiste direction?

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

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