Find the (i) Scalar component and (ii)vector component of `A=3hati+4hatj+5hatk on B=hati+hatj+hatk.`

Explanation

To solve the problem of finding the scalar and vector components of vector \( \mathbf{A} = 3\hat{i} + 4\hat{j} + 5\hat{k} \) along vector \( \mathbf{B} = \hat{i} + \hat{j} + \hat{k} \), we will follow these steps:

### Step 1: Find the unit vector of \( \mathbf{B} \)

The unit vector \( \hat{b} \) is calculated by dividing \( \mathbf{B} \) by its magnitude.

1. **Calculate the magnitude of \( \mathbf{B} \)**:
\[
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