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WORKBOOK
Ex: Write the coordinates of the points A, B, C, D, E, F, G
and H.
DISTANCE BETWEEN TWO POINTS
The distance between any two points P (x 1, y 1) and Q(x 2, y 2) in the xy-plane is given by
Proof: As it is seen in the figure, the distance between P and Q is the length of the segment [PQ]
and |PR|= x 2 – x 1 and |QR|= y 2 – y 1 .
From PQR right triangle we can write
2
2
2
|PQ| = |PR| + |RQ| and
2
2
|PQ| = √|PR| + |RQ| and so we find
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102math-wb-w3-(Vector)
