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Length of the projection of the segment joining (5,-1,4) and (4,-1,3) on the plane x + y + z = 7

The same question, asked 2 times: 16 May 2023 S1, 12 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S1

    138
    The length of the projection of the line segment joining the points (5,−1,4)(5,-1,4) and (4,−1,3)(4,-1,3) on the plane x+y+z=7x+y+z=7 is

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  2. Question 2

    12 May 2024 S2

    136
    The length (in units) of the projection of the line segment, joining the points (5,−1,4)(5,-1,4) and (4,−1,3)(4,-1,3), on the plane x+y+z=7x+y+z=7 is

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