Find the length and the foot of the perp...

Find the length and the foot of the perpendicular from the point P(7,14,5) to the plane (2x+4y-z=2). Also, find the image of the point P in the plane.

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The correct Answer is:

`sqrt(189) `; (13, 26, 2).

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (E) (SHORT ANSWER TYPE QUESTIONS )

(i) Find the distance from (1,2,3 ) to the plane 2x + 3y - z + 2 = 0 ....
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Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " ...
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Angle between the planes: (i) vec(r). (hati - 2 hatj - hatk) = 1 and ...
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(i) The position vectors of two points A and B are 3 hati + hatj + 2 h...
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Find the equation of the plane passing through the point (1,2,1) and p...
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Find the vector and Cartesian equations of the plane which passes thro...
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Find the vector and cartesian equation of the plane : (i) that passe...
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Find the length of the perpendicular from the point (2,3,7) to the pla...
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In the following, find the distance of each of the given points from t...
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In the following, determine the direction-cosines of the normal to the...
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If the points (1," "1," "p)" "a n d" "(" "3," "0," "1) be equidistant ...
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In the following cases, find the co-ordinates of the foot of the perpe...
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Find the length and the foot of the perpendicular from the point P(7,1...
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(i) Find the vector equation of the line passing through (1,2,3) and p...
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(i) Find the equations of the plane passing through (a,b,c) and parall...
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Find the vector and catesian equations of the plane containing the lin...
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Find the angle between the lines x-2y+z=0=x+2y-2za n dx+2y+z=0=3x+9y+5...
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Show that the line 3x - 2y + 5 = 0 , y + 3z - 15 = 0 and (x -1)/(5) =...
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Find the equations of the line passing through the point (1, -2, 3) an...
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Find the equation of the plane which bisects the line segment joining ...
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