(Solved): Let \( \vec{a}=\langle 2,0,3\rangle, \vec{b}=\langle-2,6,3\rangle \), and \( \vec{c}=\langle 2,3,4 ...

Let \( \vec{a}=\langle 2,0,3\rangle, \vec{b}=\langle-2,6,3\rangle \), and \( \vec{c}=\langle 2,3,4\rangle \). (a) Compute \( \vec{a} \cdot \vec{b} \). (b) Compute \( \vec{a} \cdot \vec{c} \). (c) Compute \( \vec{b} \cdot \vec{c} \). (d) Compute \( \vec{a} \cdot(\vec{b}-\vec{c}) \)