Solved: Here are three vectors in meters: d1 = -3.01 +

Chapter , Problem 63

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Here are three vectors in meters:

\(\begin{array}{l}
\vec{d}_{1}=-3.0 \hat{\mathrm{i}}+3.0 \hat{\mathrm{j}}+2.0 \hat{\mathrm{k}} \\
\vec{d}_{2}=-2.0 \hat{\mathrm{i}}-4.0 \hat{\mathrm{j}}+2.0 \hat{\mathrm{k}} \\
\vec{d}_{3}=2.0 \hat{\mathrm{i}}+3.0 \hat{\mathrm{j}}+1.0 \hat{\mathrm{k}}
\end{array}\)

What results from

(a) \(\vec{d}_{1} \cdot\left(\vec{d}_{2}+\vec{d}_{3}\right)\)

(b) \(\vec{d}_{1} \cdot\left(\vec{d}_{2} \times \vec{d}_{3}\right)\) and

(c) \(\vec{d}_{1} \times\left(\vec{d}_{2}+\vec{d}_{3}\right)\) ?

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