In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A→ =(1,0,−3), B→ =(−2,5,1), and C→ =(3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.
A) A - B =
B) B - C =
C) -A + B - C =
D) 3A - 2C =
E) -2A + 3B - C =
F) 2A - 3(B-C) =