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Show that the normal to the following pl...

Show that the normal to the following planes are perpendicular to each other. ` vec rdot((2 hat i- hat j+3 hat k)=5` & `vec rdot((2 hat i-2 hat j-2 hat k)=5`

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Determine the value of lambda for which the following plane are perpendicular to each other. vec rdot(( hat i+2 hat j+3 hat k)=7\ a n d\ vec rdot((lambda hat i+2 hat j-7 hat k)=26.

Show that the equation of the planes are perpendicular to each other. vecr.(2 hat i- hat j+3 hat k)=5 and vecr.(2 hat i- 2 hat j - 2 hat k)=5

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.

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

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+3 hat j-6 hat k)=5\ a n d\ vec rdot(( hat i-2 hat j+2 hat k)=9.

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+4 hat k)=1\ a n d\ vec rdot((- hat i+ hat j)=4 .

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.

Find the direction cosines of perpendicular from the origin to the plane vec rdot(2 hat i-3 hat j-6 hat k)+5=0.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the equation of the plane that bisects the line segment joining ...

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  2. Show that the normal to the following planes are perpendicular to each...

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  3. Show that the normal to the following planes are perpendicular to each...

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  4. Show that the equation of the planes are perpendicular to each other. ...

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  5. Show that the normal vector to the plane 2x+2y+2z=3 is equally incline...

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  6. Find a vector of magnitude 26 units normal to the plane 12 x-3y+4z=1.

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  7. Find the equation of the plane which bisects the line segment joining ...

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  8. Find the vector and the Cartesian equation of the plane which pases th...

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  9. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

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  10. Find the vector equation of a plane at a distance of 5 units from the ...

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  11. Reduce the equation of the plane x-2y-2z=12 to normal form and hence f...

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  12. Find the vector equation of a plane which is at a distance of 6 units ...

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  13. Find the vector equation of a plane which is at a distance of 3 units ...

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  14. Find the vector equation of a plane which is at a distance of 5 units ...

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  15. Reduce the equation 2x-3y-6z=14 to the normal form and hence fine the ...

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  16. Write the normal form of the equation of the plane 2x-3y+6z+14=0.

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  17. The direction ratios of the perpendicular from the origin to a plane ...

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  18. Find a normal vector to the plane x+2y+3z-6=0

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  19. Find the vector equation of the plane which is at a distance of 6/(sq...

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  20. Find the distance of the plane 2x 3y + 4z 6 = 0from the origin.

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