a cyclist travels a distance of 4km from p to q and moves a distance of 3km at right angle to pq .find his resulted displacement graphically

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To find the resultant displacement graphically, you can construct a vector diagram.

1. Start by drawing a line segment representing the distance traveled from point P to Q. Label this line segment PQ and indicate its length as 4 km.

2. From point Q, draw another line segment at a right angle to PQ with a length of 3 km. Label this line segment QR.

3. Connect the starting point P to the endpoint R of the line segment QR to form a triangle PQR.

4. Measure the length of the line segment PR, which represents the resultant displacement of the cyclist.

5. Finally, draw an arrow starting from point P and pointing towards point R to indicate the direction of the displacement.

The line segment PR represents the resultant displacement of the cyclist. Measure its length to determine the magnitude of the displacement, and determine the direction based on the arrow.