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Find the distance of the point 2 hat i- ...

Find the distance of the point `2 hat i- hat j-4 hat k` from the plane ` vec rdot((3 hat i-4 hat j+12 hat k)-9=0.`

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Find the distance of the point 2 hat i+ hat j- hat k from the plane vec r( hat i-2 hat j+4 hat k)=9 .

Find the position vector of the foot of perpendicular and the perpendicular distance from the point P with position vector 2 hat i+3 hat j+4 hat k to the plane vec rdot(2 hat i+ hat j+3 hat k)-26=0. Also find image of P in the plane.

Find the image of the point having position vector hat i+2 hat j+4 hat k in the plane vec r.(2 hat i- hat j+ hat k)+3=0.

Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=5\ a n d\ vec rdot(( hat i-2 hat j+2 hat k)=9.

A vector parallel to the line of intersection of the planes vec r=dot(3 hat i- hat j+ hat k)=1\ a n d\ vec rdot(( hat i+4 hat j-2 hat k)=2 is a. -2 hat i+7 hat j+13 hat k b. 2 hat i+7 hat j-13 hat k c. -2i-7j+13 k d. 2i+7j+13 k

Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=1\ a n d\ vec rdot((- hat i+ hat j)=4 .

Show that the points hat i- hat j+3 hat ka n d3( hat i+ hat j+ hat k) are equidistant from the plane vec rdot(5 hat i+2 hat j+ hat k)+9=0 and lie on opposite sides of it.

Show that the following planes are at right angle: vec rdot((2 hat i- hat j+ hat k)=5\ a n d\ vec rdot((- hat i- hat j+ hat k)=3.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. A variable plane is at a constant distance p from the origin and meets...

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  2. A variable plane at a constant distance p from the origin meets the co...

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  3. Find the distance of the point 2 hat i- hat j-4 hat k from the plane ...

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  4. Find the distance of the point (2, 3, -5) from the plane x+2y-2z-9=0.

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  5. Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the...

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  6. Find the equations of the plane parallel to the plane x-2y+2z-3=0\ an...

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  7. Find the distance of the point (2, 3, 5) from the xy-plane.

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  8. If the product of distances of the point (1,1,1) from the origin and p...

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  9. Find the distance between the point (7,2,4) and the plane determined b...

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  10. Find the distance between the planes 2x-y+2z=4 and 6x-3y+6z=2.

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  11. Prove that the four points having position vectors are non-coplanar: ...

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  12. Find the equation of the plane mid parallel to the planes 2x-2y+z+3=0\...

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  13. Reduce the equation of line x-y+2z=5a d n3x+y+z=6 in symmetrical fo...

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  14. Find dy/dx if x=ay+b

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  15. If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...

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  16. Find the equation of the plane passing through the line of intersectio...

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  17. Find the equation of the plane passing through the intersection of the...

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  18. Find the equation of the plane passing through the intersection of the...

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  19. Find the equation of the plane passing through the point A(1,\ 2,\ 1) ...

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  20. Find an equation or the line that passes through the point P(2,\ 3,\ 1...

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