Suppose A B and C are points in R3 Write the vector AB BC i
Suppose A, B and C are points in R^3. Write the vector AB + BC in the form PQ, for some points P and Q. Write the vector AB - AC in the form for PQ, some points P and Q. Find the components of AB, with A(3, 5, 1) and B(1, 9, 0).
Solution
a.
AB +BC will give teh resultant of the two vectors which is AC
AB+BC=AC
b.
We just saw
AB+BC=AC
so
AB-AC=-BC
2.
AB=B-A=(-2,4,-1)
