The magnitude of the component of the vector
` (2 hat i+3 hat j + hat k) along (3 hat I = 4 hat k) is .

Options

A. ` 1/2`
B. (14) /4`
C. `3`
D. `6/5`

Explanation

To find the magnitude of the component of the vector \( \mathbf{A} = 2\hat{i} + 3\hat{j} + \hat{k} \) along the vector \( \mathbf{B} = 3\hat{i} + 4\hat{k} \), we can follow these steps:

### Step 1: Identify the vectors
We have:
- \( \mathbf{A} = 2\hat{i} + 3\hat{j} + \hat{k} \)
- \( \mathbf{B} = 3\hat{i} + 4\hat{k} \)

### Step 2: Calculate the magnitude of vector \( \mathbf{B} \)
...