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Find the equation of the plane such t...

Find the equation of the plane such that image of point `(1,2,3)` in it is`(-1,0,1)dot`

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To find the equation of the plane such that the image of the point \( A(1, 2, 3) \) in it is \( B(-1, 0, 1) \), we can follow these steps: ### Step 1: Identify the Points Let \( A(1, 2, 3) \) be the original point and \( B(-1, 0, 1) \) be its image in the plane. ### Step 2: Find the Midpoint The midpoint \( O \) of the segment \( AB \) can be calculated using the midpoint formula: \[ ...
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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
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  7. Find the distance of the point (-1,-5,-10) from the point of int...

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  8. Find the equation of the plane passing through the point (-1,3,2) an...

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  9. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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  13. Find the radius of the circular section of the sphere | vec r|=5 by...

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  14. A point P(x ,y ,z) is such that 3P A=2P B , where Aa n dB are the p...

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  15. Find the shortest distance between lines vec r=( hat i+2 hat j+ hat...

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  16. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a ...

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  17. Determine whether the following pair of lines intersect or not. (1...

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  18. Find the equation of plane which is at a distance 4/(sqrt(14)) from...

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  19. Find the unit vector perpendicular to the plane vec rdot(2 hat i+ ...

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