Solved: For the displacement vectors a = (3.0 m)i + (4.0

Chapter , Problem 16

(choose chapter or problem)

For the displacement vectors \(\vec{a}=(3.0 \ \mathrm{m}) \hat{\mathrm{i}}+(4.0 \ \mathrm{m}) \hat{\mathrm{j}}\) and \(\vec{b}=(5.0 \ \mathrm{m}) \hat{\mathrm{i}}+(-2.0 \ \mathrm{m}) \hat{\mathrm{j}}\), give \(\vec{a}+\vec{b}\) in

(a) unit-vector notation, and as

(b) a magnitude and

(c) an angle (relative to \(\hat{i}\)). Now give \(\vec{b}-\vec{a}\) in

(d) unit-vector notation, and as

(e) a magnitude and

(f) an angle

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