find the projection of the vector `hati+3hatj+7hatk` on the vector `7hati-hatj+8 hatk`

Explanation

To find the projection of the vector **A** = \( \hat{i} + 3\hat{j} + 7\hat{k} \) on the vector **B** = \( 7\hat{i} - \hat{j} + 8\hat{k} \), we will use the formula for the projection of vector **A** onto vector **B**:

\[ \text{Projection of A on B} = \frac{\mathbf{A} \cdot \mathbf{B}}{|\mathbf{B}|^2} \mathbf{B} \]

### Step 1: Calculate the dot product \( \mathbf{A} \cdot \mathbf{B} \)

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