Vectors 2

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The first two sheets use maps of New York to show how vectors can be used to specify journeys. Answers in terms of a and b can be revealed.

The third sheet shows that the vectors a and b used to describe relative position do not need to be perpendicular or equal in magnitude. It also illustrates parallel vectors which may be equal in length. The next sheet shows a square grid as a way of introducing the unit vectors i and j and also introduces the vector as a column vector.

The next sheet gives the position vectors of the vertices of a triangle which is shown on a coordinate grid. Students need to find the position vectors of points which are marked 1/3 the way along sides of the triangle. Answers can be revealed and new problems generated.

The final two sheets use vectors to define the motion of two objects. In the first case the parameter t increases to when the objects collide. In the final sheet they do not collide and the minimum distance between the objects is shown.

The first Vectors resource can be found in the Virtual Textbook: Secondary collection.

Note: This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users’ machine.

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