20. Show that the points P(-2,3,5). Q(1,2,3)&R(7,0,-1) are collinear

20. Show that the points P(-2,3,5). Q(1,2,3)&R(7,0,-1) are collinear

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2 thoughts on “20. Show that the points P(-2,3,5). Q(1,2,3)&R(7,0,-1) are collinear<br />​”

  1. Answer:

    Let point (−2,3,5),(1,2,3)and(7,0,−1) be denoted by P , Q , and R respectively.

    by using distance formula d=

    (x

    2

    −x

    1

    )

    2

    +(y

    2

    −y

    1

    )

    2

    +(z

    1

    −z

    1

    )

    2

    Point P,Q and R are collinear if they lie on a line.

    PQ=

    (1+2)

    2

    +(2−3)

    2

    +(3−5)

    2

    =

    (3)

    2

    +(−1)

    2

    +(−2)

    2

    =

    9+1+4

    =

    14

    QR=

    (7−1)

    2

    +(0−2)

    2

    +(−1−3)

    2

    =

    (6)

    2

    0

    Reply

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