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Math Help - finding z value

  1. #1
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    finding z value

    can somebody please help in finding the formula for calculating value of z3 when we have following

    a=(x1,y1,z1)

    c=(x3,y3,z3)

    b=(x2,y2,z2)


    c is the point betweent a and b.
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  2. #2
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    Quote Originally Posted by charu View Post
    can somebody please help in finding the formula for calculating value of z3 when we have following

    a=(x1,y1,z1)

    c=(x3,y3,z3)

    b=(x2,y2,z2)


    c is the point betweent a and b.
    Dear charu,

    Are these three points lie in a straight line???
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  3. #3
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    yes, these three points lie in straight line.
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    Quote Originally Posted by charu View Post
    yes, these three points lie in straight line.
    Dear charu,

    Since these three points are in a straight line and given the condition that point "c" lies inbetween points "a" and "b", we could write, (please refer to the attached drawing.)

    z_{3}=\frac{\alpha{z_1}+\beta{z_2}}{\alpha+\beta} ; Here the line is divided by "c" to the propotion \frac{\alpha}{\beta}

    Hope this will help you.
    Attached Files Attached Files
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  5. #5
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    Quote Originally Posted by charu View Post
    can somebody please help in finding the formula for calculating value of z3 when we have following
    a=(x1,y1,z1), c=(x3,y3,z3), b=(x2,y2,z2)
    c is the point betweent a and b.
    Let c=\left(x_1+t(x_2-x_1),y_1+t(y_2-y_1),z_1+t(z_2-z_1)\right). For any, 0<t<1, c will be between a~\&~b.
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