`vec(A) and vec(B)` are two vectors having the same magnitude but acting at right angle to each other . On the same diagram represent `vec(A) + vec(B) and vec(A) - vec(B)` using a suitable scale ?

Explanation

To solve the problem of representing the vectors \(\vec{A}\) and \(\vec{B}\) graphically, we will follow these steps:

### Step 1: Draw the Vectors
1. **Draw Vector A**: Start by drawing vector \(\vec{A}\) on a graph. Let's assume it has a magnitude of 5 units. Draw it horizontally to the right.
2. **Draw Vector B**: Since vector \(\vec{B}\) has the same magnitude as vector \(\vec{A}\) and is acting at a right angle to it, draw vector \(\vec{B}\) vertically upwards from the tip of vector \(\vec{A}\).

### Step 2: Representing \(\vec{A} + \vec{B}\)
1. **Create a Parallelogram**: To find \(\vec{A} + \vec{B}\), we can use the parallelogram law. From the tail of \(\vec{A}\) and the tail of \(\vec{B}\), complete the parallelogram by drawing lines parallel to \(\vec{A}\) and \(\vec{B}\).
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