An introduction to mathematics, by A. N. Whitehead.

106 INTRODUCTION TO MATHEMATICS
cases. Take the couples (1,3) and (2,0) and
consider the equation
(2,0) X (1,3) = (I,6)
Y
i Q
x1 7 Iat' -,,,
R N
M, O M N
Fig. 11.
In the diagram (fig. 11) the vector OP
represents (1, 3), and the vector ON represents (0,2), and the vector OQ represents
(2,6). Thus the product (2,0) X (1,3) is
found geometrically by taking the length of
the vector OQ to be the product of the
lengths of the vectors OP and ON, and (in
this case) by producing OP to Q to be of
the required length. Again, consider the
product (0,2) X (1,3), we have
(0, 2) X(1, 3) =(-6, 2)
The vector ON, corresponds to (0, 2) and
the vector OR to (-6,2).- Thus OR which