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Geometrical Constructions - Tangents to a Circle

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Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.

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https://brainmass.com/math/geometric-shapes/geometrical-constructions-tangents-circle-185801

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Let C be a circle with center P and X a point in the exterior of C. Construct the two ...

Solution Summary

The step-by-step procedure of constructing a pair of tangents to a circle from a given exterior point is described.

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Vector projection and follow-up

The diagram attached shows a rectangular solid, two of whose vertices are A=(0,0,0) and G=(4,6,3).

a) Find vector projections of AG onto the following vectors: AB, [0,1,0], [-1,0,0] and [0,0,1].

b) Find the point on AC that is closest to the midpoint of GH

(The diagram is on page 21 and it is problem 6)
(As you can see I do not need part A of the problem)

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