If overline{a} = bar{i} - 2bar{j} + 2bar{k} a | vedclass

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(B) The projection of vector $\overline{b}$ on $\overline{a}$ is given by $\frac{\overline{a} \cdot \overline{b}}{|\overline{a}|}$.The projection of v

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$7$

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(B) The projection of vector $\overline{b}$ on $\overline{a}$ is given by $\frac{\overline{a} \cdot \overline{b}}{|\overline{a}|}$.The projection of vector $\overline{a}$ on $\overline{b}$ is given by $\frac{\overline{a} \cdot \overline{b}}{|\overline{b}|}$.Therefore,the ratio is $\frac{\frac{\overline{a} \cdot \overline{b}}{|\overline{a}|}}{\frac{\overline{a} \cdot \overline{b}}{|\overline{b}|}} = \frac{|\overline{b}|}{|\overline{a}|}$.First,calculate the magnitudes:$|\overline{a}| = \sqrt{1^2 + (-2)^2 + 2^2} = \sqrt{1 + 4 + 4} = \sqrt{9} = 3$.$|\overline{b}| = \sqrt{9^2 + 6^2 + (-18)^2} = \sqrt{81 + 36 + 324} = \sqrt{441} = 21$.Finally,the ratio is $\frac{|\overline{b}|}{|\overline{a}|} = \frac{21}{3} = 7$.

If $\overline{a} = \bar{i} - 2\bar{j} + 2\bar{k}$ and $\overline{b} = 9\bar{i} + 6\bar{j} - 18\bar{k}$ are two vectors,then $\frac{\text{Projection of } \overline{b} \text{ on } \overline{a}}{\text{Projection of } \overline{a} \text{ on } \overline{b}} = $

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