Prove-that-the-equation-of-the-line-joining-the-points-z-1-and-z-2-can-be-put-in-the-form-z-tz-1-1-t-z-2-where-t-is-a-parameter-

Question Number 19506 by Tinkutara last updated on 12/Aug/17

Prove that the equation of the line

joining the points z_{1} and z_{2} can be put

in the form z = {t z}_{1} + (1 - t) z_{2}, where

t is a parameter .

Answered by ajfour last updated on 12/Aug/17

z - z_{2} = t (z_{1} - z_{2})

\Rightarrow z = {tz}_{1} + (1 - t) z_{2} .

Commented by Tinkutara last updated on 12/Aug/17

Thank you very much Sir!

Commented by ajfour last updated on 12/Aug/17

z, z_{1}, z_{2} being on the same line,

z - z_{2} is parallel to z_{1} - z_{2} .

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