Three vectors are given with their tails at the origin and t

Three vectors are given with their tails at the origin and their heads determine 3 points A, B, and C in space (forming a triangle). In the following order (and direction) find vectors AB, BC, and CA that represent the sides of the triangle. How would I go about this? I am given three vectors, I didnt type them here because I am mostly concerned with the process.

Solution

If say the vector from 0 to A is : (a,b,c)

Say vector from origin to B is : (d,e,f)

Say vector from origin to C is : (g,h,i)

So, to find AB, here is what you do...

AB = B - A = (d,e,f) - (a,b,c) = <d - a , e - b , f - c>

BC = C - B = (g,h,i) - (d,e,f) --> <g - d , h - e , i - f>

CA = A - C --> (a,b,c) - (g,h,i) --> <a - g , b - h , c - i>

This is how it is done

If you have any further doubts, please comment on this answer if you will