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In class, we discussed how a point and a nonzero vector emanating from it completely determine a line. Explain how this affine representation (point

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In class, we discussed how a point and a nonzero vector emanating from it completely determine a line. Explain how this affine representation (point plus vector) is equivalent to those of symmetric equations in space: (-a)/b = (y- c)/d=(ze)/f. Provide a concrete example to illustrate your explanation.

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