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)

 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 point

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