If the x component of a vector `veca,` in the xy plane, is half as large as the magnitude of the vector, find the tangent of the angle between the vector and the x axis.

Explanation

To solve the problem, we need to find the tangent of the angle between the vector \( \vec{A} \) and the x-axis, given that the x-component of the vector is half of its magnitude. Let's break this down step by step.

### Step 1: Define the components of the vector
Let the magnitude of the vector \( \vec{A} \) be \( |\vec{A}| \). The x-component of the vector \( \vec{A} \) can be denoted as \( A_x \). According to the problem, we have:

\[ A_x = \frac{1}{2} |\vec{A}| \]
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