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If A. B and C are three points on a lin...

If A. B and C are three points on a line, and B lies between A and C then prove that `A B-B C=A C`.

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(AB+BC) and AC-coincial with each other by euclids, 4^(th) axiom these two quantity are equal
AB+BC=AC
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Knowledge Check

  • If A, B and C are three points position vectors a, b and c respectively, then perpendicular distance of A from the line joining B and C is

    A
    `(|a xx b xx c|)/(2(b xx c))`
    B
    `(|a xx b + b xx c + c xx a|)/(2|(b - c)|)`
    C
    `(|a xx b + b xx c + c xx a|)/(|(b - c)|)`
    D
    None of these.

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