The sum of the magnitudes of two forces acting at a point is 18 and the magnitude of their resultant is 12. If the resultant is at `90^(@)` with the force of smaller magnitude, What are the magnitudes of forces?

Explanation

To solve the problem, we need to find the magnitudes of two forces \( A \) and \( B \) acting at a point, given that:

1. The sum of their magnitudes is \( A + B = 18 \) N.
2. The magnitude of their resultant \( R = 12 \) N.
3. The resultant \( R \) is at a \( 90^\circ \) angle with the smaller force \( B \).

### Step-by-step Solution:

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