Let b1 =
and b2 =
then answer the following:
a. find 1 ⋅ b1 + 0 ⋅ b2.
b. find 0 ⋅ b1 + 1 ⋅ b2.
c. find 1 ⋅ b1 + 1 ⋅ b2.
d. find 3 ⋅ b1 + 2 ⋅ b2.
e. find 0 ⋅ b1 + 0 ⋅ b2.
f. find x ⋅ b1 + y ⋅ b2 for x, y real numbers.
g. summarize your results from parts (a)–(f). can you use b1 and b2 to define any point in ℝ2?

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