Class 10 Optional Mathematics | Theorems

Project Work

Method

Draw the X-axis and the Y-axis on a large sheet of graph paper.
Design a city on the graph paper and choose four main places in it.
Mark the school (A) at a point of your choice, for example \( 2\vec{i} + 5\vec{j} \).
Mark the hospital (B), for example at \( 6\vec{i} + 2\vec{j} \).
Mark the cinema hall (C), for example at \( 3\vec{i} + 4\vec{j} \).
Mark the playground (D), for example at \( 2\vec{i} - 3\vec{j} \).
Work out by calculation where a library should be placed halfway between two of the places, and add it to your design.
Find out whether two of the roads in your city are perpendicular (\( 90^\circ \)) to each other.

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