The greatest and least resulant of two forces acting at a point is `10N` and `6N`,respectively. If each force is increased by `3N`, find the resulant of new forces when acting at a point at an angle of `90^(@)` with each other .

Explanation

To solve the problem step by step, we will first determine the original forces based on the given resultant forces, then calculate the new forces after the increase, and finally find the resultant of the new forces acting at a right angle.

### Step 1: Determine the original forces
We know that the greatest resultant \( R_{max} \) is 10 N and the least resultant \( R_{min} \) is 6 N. We can represent the two forces as \( A \) and \( B \).

From the properties of resultant forces:
- \( R_{max} = A + B = 10 \) N (Equation 1)
- \( R_{min} = A - B = 6 \) N (Equation 2)
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