If `A=3hat(i)+4hat(j)` and `B=7hat(i)+24hat(j)`,find the vector having the same magnitude as B and parallel to A.

Explanation

To solve the problem, we need to find a vector \( P \) that has the same magnitude as vector \( B \) and is parallel to vector \( A \). Let's break down the solution step by step.

### Step 1: Find the Magnitudes of Vectors A and B
First, we need to calculate the magnitudes of both vectors \( A \) and \( B \).

- Vector \( A = 3\hat{i} + 4\hat{j} \)

The magnitude of \( A \) is given by:
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