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Let L be the line with parametric equations

x = −8+2t
y = 4+3t
z = −4

Find the vector equation for a line that passes through the point P=(−2, 1, 3) and intersects L at a point that is distance 2 from the point Q=(−8, 4, −4). Note that there are two possible correct answers. Use the square root symbol '√' where needed to give an exact value for your answer.

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