WEBVTT
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Yeah the question they're asking to find an inauguration for
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the plane consisting of all points that are equidistant trump
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. The two points 10-2 and 340. So
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in order to find the equation for the plane that
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is equidistant from these two points we have to first
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find the values in order to derive the equation.
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The equation can written in the form of A.
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In two x minus x zero Plus B into Y
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-Y0. Let's see into that minors at zero Is
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equal to zero. Where A. B C.
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Are components of normal victors of the given plain and
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Egg 0 Y0 and zero is the point or the
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coordinates that is lying in the plane. Therefore in
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order to find the normal victim the point or coordinates
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first we have to find als midpoint of the given
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points. So the given points are point A is
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10-2 and point me is 340. Therefore the
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meet point that is M p me is equal to
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the some of the coordinates Divided by two. That
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is MPS equal to one plus 3 x two,
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zero plus 4 x two And-2-plus 0 x two
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. So it is equal to two comma two,
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coma minus one. And so this is equal to
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the point X zero, Y zero and 00.
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Mhm. And next year to find them normal victor
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for the plane. So in order to catholic the
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normal victim these two points are E and this is
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me. So coordinator 10-2 and for B coordinates
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at 340. So the midpoint is mp that is
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okay yeah That is 2:-1. Now we're
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in order to find the normal victim to the plane
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That isn't it's three D. Form can be presented
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in a one day form in the line. A
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. B by the direction vector mp me so therefore
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M p B is equal to be victor minus mp
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victor. That is equal to 3-2. IPs
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Plus 4-2, Jacob plus zero. My plus
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one kick up this is equal to therefore the normal
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victory is equal to one 21. So we got
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the point and the normal victim for finding the equation
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of the plane. So this can be put in
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the form of the equation that is in two X
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-60. That is equal to normal victor, one
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into x minus the point. Let's suppose the point
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is a 10-2. The point is The mid
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.2 to-1 that we are just found out that
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is equally distant. Did the point b See 2
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to-1 and therefore It is equal to one in
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2 x-2 Plus two and 2 x-2 plus
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one in+20 plus one is equal to zero.
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So this is equal to X-2-plus 2. Why
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minus four plus zero plus one is equal to zero
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. This is equal to x plus two, Y
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plus z minus five equal to zero or X plus
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two Y plus said equal to five. And this
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is the required equation of the plane asking the question
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.