Solved: Two vectors are presented as Fig. 3-32 33 and 54.
Chapter , Problem 34(choose chapter or problem)
Two vectors are presented as \(\vec{a}=3.0 \hat{\mathrm{i}}+5.0 \hat{\mathrm{j}}\) and \(\vec{b}=2.0 \hat{\mathrm{i}}+4.0 \hat{\mathrm{j}}\). Find
(a) \(\vec a \times \vec b\),
(b) \(\vec{a} \cdot \vec{b}\),
(c) \((\vec{a} + \vec b) \cdot \vec b\), and
(d) the component of \(\vec a\) along the direction of \(\vec b\) .
(Hint: For (d), consider Eq. 3-20 and Fig. 3-18.)
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