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To find the scalar component of the projection of vector \( \mathbf{a} = 2\hat{\imath} + 3\hat{\jmath} \) onto vector \( \mathbf{b} = 2\hat{\imath} - 2\hat{\jmath} - k\hat{k} \), you can use the formula for the scalar projection:

\[ \text{Scalar Projection} = \frac{\mathbf{a} \cdot \mathbf{b}}{\|\mathbf{b}\|} \]

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