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Find the equation of the plane through the points `(23,1)a n d(4,-5,3)` and parallel to the x-axis.

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AI Generated Solution

To find the equation of the plane through the points \( A(2, 3, 1) \) and \( B(4, -5, 3) \) that is parallel to the x-axis, we can follow these steps: ### Step 1: Identify the Points We have two points: - Point A: \( (2, 3, 1) \) - Point B: \( (4, -5, 3) \) ### Step 2: Find the Direction Vector AB ...
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CENGAGE ENGLISH-THREE-DIMENSIONAL GEOMETRY -CONCEPT APPLICATION EXERCISE 3.3
  1. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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  2. Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and t...

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  3. Find the distance of the point (-1,-5,-10) from the point of int...

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

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  5. Find the equation of the plane passing through the points (1,0,-1)a...

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  6. Find the equation of the plane containing the lines (x-5)/4=(y-7)/4...

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  7. Find the equation of the plane passing through the straight line (x...

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  8. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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  9. Find the equation of the plane passing through the line (x-1)/5=(y+...

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  10. Find the angle between the line vecr=hati+2hatj-hatk+lamda(hati-hatj+h...

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  11. Find the equation of the plane which passes through the point (12,3...

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  12. Find the direction ratios of orthogonal projection of line (x-1)/1=...

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  13. Find the equation of a plane which is parallel to the plane x-2y+2z...

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  14. Find the equation of a plane which passes through the point (1,2,3)...

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  15. Find the equation of the image of the plane x-2y+2z=3 in the plane x+y...

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  16. Find the equation of the plane through the points (23,1)a n d(4,-5,...

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  17. Find the distance of the point veca from the plane vecr*hatn=d measure...

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  18. Find the value of m for which thestraight line 3x-2y+z+3=0=4x=3y+4z+1 ...

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  19. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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