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Determine the value of lambda for which ...

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.`

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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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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.

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

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 .

For what value of lambda are the vector vec a\ a n d\ vec b perpendicular to each other? Where; vec a=2 hat i+3 hat j+4 hat k\ a n d\ vec b=3 hat i+2 hat j-lambda hat k

For what value of lambda are the vector vec a\ a n d\ vec b perpendicular to each other? Where; vec a=lambda hat i+2 hat j+ hat k\ a n d\ vec b=4 hat i-9 hat j+2 hat k

For what value of lambda are the vector vec a\ a n d\ vec b perpendicular to each other? Where; vec a=lambda hat i+2 hat j+ hat k\ a n d\ vec b=5 hat i-9 hat j+2 hat k

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Show that the following planes are at right angle: vec rdot((2 hat i-...

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  2. Show that the following planes are at right angle: x-2y+4z=10\ a n d\ ...

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  3. Determine the value of lambda for which the following plane are perpen...

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  4. Determine the value of lambda for which the following plane are perpen...

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  5. Determine the value of lambda for which the following plane are perpen...

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  6. Obtain the equation of the plane passing through the point (1, -3, -2)...

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  7. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

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  8. Find the equation of the plane with intercept 3 on the y-axis and para...

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  9. Find dy/dx if x + 2y = 8.

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  10. Find the equation of the plane passing through (a ,b ,c) and parallel ...

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

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  12. Find the vector equation of the plane through the points (2, 1, -1) an...

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  13. Find the vector equation of the following planes in scalar product for...

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  14. Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat ...

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  15. Find dy/dx if y=e^(2x)

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  16. Find the vector equation of the following planes in scalar product for...

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  17. Find the Cartesian form of the equation of the following plane: vec r...

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  18. Find the vector equation of the following planes in non parametric ...

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  19. Find the vector equation of the following planes in non parametric ...

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  20. Find the equation of plane passing through the point hat i+ hat j+ ha...

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