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If the points (1, 1, p) and (– 3, 0, 1) ...

If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane `vecr cdot(3hati+4hatj-12hatk) + 13 = 0` then find the value of p.

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If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr*(3hati+4hatj-12hatk)+13=0 , then find the value of p.

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Find the angle between the line joing (3,-4,-2) and(12, 2, 0) and the plane vecr*(hati+hatj+hatk)=4

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PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
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  9. Find the coordinates of the point where the line through (3, – 4, – 5)...

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

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  11. If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane ...

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  13. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  14. Find the equation of the plane which contains the line of intersection...

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  15. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  16. Find the vector equation of the line passing through (1, 2, 3) and par...

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  17. Find the equations of the straight line passing through the point (1, ...

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  18. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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  19. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  20. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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