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14. Given that quadrilateral PQRS with vertices P(2, 4), Q(8, 8), R(8, 2) and S(2, -2) is<br />

a parallelogram. Find:<br />

(a) the magnitudes of the diagonals,<br />

(b) the coordinates of the point of intersection of its diagonals.<br />

Revision of Vectors<br />

Vector Geometry<br />

A scalar is a quantity with magnitude (size) only.<br />

A vector is a quantity with both magnitude and direction.<br />

Velocity is speed in a given direction and is thus a vector.<br />

e.g 15 m/s is a speed.<br />

15 m/s on a bearing 070 0 is a velocity since the direction is given.<br />

A vector can be represented on paper by a line segment, say AB, showing magnitude<br />

4<br />

and direction or by an ordered set of numbers. We can write vector AB as AB = a = <br />

3<br />

<br />

When writing these vectors you will use the common notation or

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