If Q(0,−1,−3) is the image of the point P in the plane 3x−y+4z=2 and R is the point (3,−1,−2), then find the area (in sq. units) of triangle PQR

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alihikaua8xxc · Accepted Answer

M = a point on the plane such that PQ passes through M. The point R lies on the plane : 3x−y+4z−2=0     P    M    =          |                      1        &amp;#x2212;        12        &amp;#x2212;        2                    9        +        1        +        16                    |        =                  13        2                  P    R    =          9      +      1        =          10            Using pythagorus theorem in&amp;#xA0;          &amp;#x394;        P    M    R    ,        R    M    =          10      &amp;#x2212;              13        2              =                  7        2                  &amp;#x21D2;          &amp;#x394;        P    Q    R    =    2    &amp;#xD7;          1      2        &amp;#xD7;                  13        2              &amp;#xD7;                  7        2              =                  91        2

If Q(0,−1,−3) is the image of the point P in the plane 3x−y+4z=2 and R is the point (3,−1,−2), then find the area (in sq. units) of triangle PQR

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