The vector having initial and terminal points as (2, 5, 0) and (-3,7,4), respectively is

Options

A. `-hati+12hatj+4hatk`
B. `5hati+2hatj+4hatk`
C. `-5hati+2hatj+4hatk`
D. `hati+hatj+hatk`

Explanation

To find the vector with initial point \( A(2, 5, 0) \) and terminal point \( B(-3, 7, 4) \), we can follow these steps:

### Step 1: Identify the points
Let \( A \) be the initial point with coordinates \( (2, 5, 0) \) and \( B \) be the terminal point with coordinates \( (-3, 7, 4) \).

### Step 2: Write the position vectors
The position vector \( \vec{A} \) corresponding to point \( A \) is:
\[
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