Calculate the scalar projection of vector a = 2i + 3j − 2k onto vector b = i + 2j − 3k.

Step 1: Identify the given vectors.
The vector $\vec{a}$ is given as $\vec{a} = 2\hat{i} + 3\hat{j} - 2\hat{k}$.
The vector $\vec{b}$ is given as $\vec{b} = \hat{i} + 2\hat{j} - 3\hat{k}$.

Step 2: Recall the formula for the scalar projection of vector $\vec{a}$ on vector $\vec{b}$.
The scalar projection of $\vec{a}$ on $\vec{b}$ is given by:

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