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#### Question 10

#### Solution

Let L be the line with parametric equations

x = 6+2t

y = -7+t

z = -1+2t

Find the vector equation for a line that passes through the point

P=(6,-9,4) and intersects L at a point that is distance 3 from the point Q=(6,-7,-1). 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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