If the position vector `veca` of a point (m,5) is such that `|veca|=13`, find the value of m.

Explanation

To solve the problem, we need to find the value of \( m \) given that the position vector \( \vec{a} \) of a point \( (m, 5) \) has a magnitude of 13.

### Step-by-Step Solution:

1. **Express the Position Vector**:
The position vector \( \vec{a} \) of the point \( (m, 5) \) can be expressed in terms of unit vectors \( \hat{i} \) and \( \hat{j} \):
\[
\vec{a} = m \hat{i} + 5 \hat{j}
...