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Mathematics: Post your doubts here!

asd

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But for the same question daredevil asked, why doesn't my method work?
Here's the method sumeru:

Since they ask for the shortest distance from the point p to the line that lies ON the plane, so we can use the normal vector of the plane as the directional vector for the line equation PX, where X is a point on the plane where a line from P and the line (given in the question) on the plane intersect.
So my line equation for PX becomes: <0,2,4> +b<2,-2,3>
Now, if I put into the plane, 2x-2y+3z=1 this point, <2t, 2-2t, 4+3t> to find the value of b, and then by substituting this value into the line equation of PX, am I finding the the position vector for X where the line from P intersect the line in the equation on the plane?
Why is thisi method wrong?
 
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