a cyclist travels a distance of 4km from P to Q & then moves a distance of 3 km at right angle to PQ . Find displacement graphically

can't do graphics here.

Algebraically, √(3^2+4^2) = 5km

To find the displacement graphically, we can use the concept of vector addition. Here's how you can do it step by step:

1. Draw a diagram representing the initial position P and the final position Q of the cyclist. Label P and Q on the diagram.

2. Draw an arrow from P to Q to represent the displacement of 4 km.

3. Next, draw another arrow from Q at a right angle to PQ to represent the displacement of 3 km. This arrow should be perpendicular to the arrow representing the displacement from P to Q.

4. Extend the arrow from Q and draw an arrowhead at the endpoint to complete the vector representing the displacement of 3 km.

5. Now, draw a straight line from the starting point P to the endpoint of the arrow representing the displacement of 3 km. This line represents the resultant displacement.

6. Measure the length of the straight line from P to the endpoint of the displacement of 3 km. This length represents the magnitude of the displacement.

7. Finally, draw an arrow from P to the endpoint of the resultant displacement line to represent the displacement vector. Label the arrow with the magnitude of the displacement.

That is the graphical representation of the displacement of the cyclist. The magnitude of the displacement can be determined by measuring the length of the line segment from P to the endpoint of the resultant displacement line, and the direction can be determined by the direction of the arrow from P to the endpoint.