Linear Dependence and Coplanarity.pdf - MCV4U d2 Linear...

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MCV4U d2 Linear Dependence and Coplanarity Assignment 1.Write an example of each of the following (assuming it is in 3-dimensional space). a.A point lying on the y-axis.
b.A point lying on the xyplane.
c.A point lying on both the xzand yzplanes.
d.A point lying on all three planes.
e.A point lying on none of the three planes, but equidistant from the xyand planes. yz
2.Triangle ABC has vertices A (4, 7, 7), B (1, 6, 5) and C (-2, 9, 8). What kind of triangle is ΔABC? Justify your answer.
3.The points (-2, 4, 5), (4, 5, -3) and (1, -1, 6) are three of four vertices of parallelogram ABCD. Explain why there are three possibilities for the location of the fourth vertex, and find the three points.
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4.The points A (-2, -1, z) B (2, 4, 3) and C (10, y, -1) are collinear. Find the values of yand z.

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