Solved: Three vectors are given by a = 3.01 + 3.0J - 2.0k,
Chapter , Problem 37(choose chapter or problem)
Three vectors are given by \(\vec{a}=3.0 \hat{\mathrm{i}}+3.0 \hat{\mathrm{j}}-2.0 \hat{\mathrm{k}}, \ \vec{b}=-1.0 \hat{\mathrm{i}}-4.0 \hat{\mathrm{j}}+2.0 \hat{\mathrm{k}}\), and \(\vec{c}=2.0 \hat{\mathrm{i}}+2.0 \hat{\mathrm{j}}+1.0 \hat{\mathrm{k}}\). Find
(a) \(\vec a \cdot (\vec b \times \vec c)\)
(b) \(\vec a \cdot (\vec b + \vec c)\) , and
(c) \(\vec a \times (\vec b + \vec c)\).
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