let P be a point NOT on line L that passes through points Q and R.(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \vec{A} = QR[/tex]

[tex]\vec{B} = QP [/tex]

prove that distance from point P to anywhere on line L is

[tex] d = |\vec{A} x \vec{B}| divided by |\vec{A}| [/tex]

so, i've tried doing the cross product after assigning variables for the A and B components. I ended up with a very tedious long multiplication of several variables, and I was wondering if there is an easier way to prove this formula.

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# Vector distance formula

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