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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP

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Find the point of intersection.

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Find parametric equations for the line through and .

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Find the point at which the line given by the parametric equations below intersects the plane.

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Find an equation of the plane with -intercept = 9, -intercept = 1, and -intercept = -3.

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Find parametric equations for the line through and .

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Find parametric equations for the line through and parallel to the vector .

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Find a nonzero vector orthogonal to the plane through the following three points:

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Find the values of such that the vectors and are orthogonal.
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Find the cross product a×b.

a= b=

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Find a nonzero vector orthogonal to the plane through the points , , and ,

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