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For these pairs of lines, click to say whether they intersect (I), are parallel (P) or are the same line (S). If they intersect, give the point of intersection. r1​=(−82​)+λ(−31​)r1​=(0−1​)+λ(6−2​)r2​=(95​)+μ(43​)r2​=(−32​)+μ(−31​)​

User Aemxdp
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Final answer:

This is a mathematics problem related to vector equations of lines where the task is to find if lines intersect, are parallel, or are the same, and finding the point of intersection if applicable.

Step-by-step explanation:

The student's question is about determining the relationship between pairs of lines (whether they intersect, are parallel, or are the same line), and if they intersect, to find the point of intersection. The given equations present lines in vector form. To solve this, you analyze the direction vectors and check if they are scalar multiples of each other (which would make the lines parallel or the same line) or if they are not multiples and thus the lines intersect or are skewed. We can compare the ratios of the line direction components to determine the relationship. If the lines are found to intersect, the point of intersection is obtained by setting the parameter equations equal to each other and solving for the variables.

User Wurdalack
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