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The distance of the point (-1, -5, -10) ...

The distance of the point (-1, -5, -10) from the point of intersection of the line ` vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+12 hat k)` and the plane ` vec rdot(( hat i- hat j+ hat k)=5` is `a. 9` b. `17` c. `13` d. none of these

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Find the distance of the point (-1,\ -5,\ -10) , from the point of intersection of the line vec r=(2 hat i- hat j+2k)+lambda\ (3 hat i+4 hat j+2 hat k) and the plane vec rdot( hat i- hat j+ hat k)=5

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane vec r ( hat i- hat j+ hat k)=5.

Find the distance of the point ( 1, 5, 10) from the point of intersection of the line -> r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane -> r=( hat i- hat j+ hat k)=5 .

The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k) and plane vec rdot( hat i+5 hat j+ hat k)=5.

Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k ) and the plane vec r.(hat i + hat j + hat k)=3

Find the distance of the point with position vector -hat i-5 hat j-10 hat k from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambda(3 hat i+4 hat j+2 hat k) with the plane vec rdot(( hat i- hat j+ hat k)=5.

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r.(2 hat i- hat j+ hat k)=4.

The distance of the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i- hat j+4 hat k) from the plane vec rdot(( hat i+5 hat j+ hat k))=5, is 5/(3sqrt(3)) b. (10)/(3sqrt(3)) c. (25)/(3sqrt(3)) d. none of these

The distance between the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i- hat j+4 hat k) and the plane vec rdot( hat i+5 hat j+ hat k)=5 is a. (10)/(3sqrt(3)) b. (10)/9 c. (10)/3 d. 3/(10)

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  2. Find the length of the perpendicular drawn from the origin to the p...

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  3. Write the vector equation of the line passing through the point (1, -2...

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  4. Write the vector equation of the plane passing through the point (a, b...

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  5. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

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  6. The equation of the plane through the point of intersection of plane x...

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  7. The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a...

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  8. The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2...

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  9. Find the vector equation of the following plane in scalar product form...

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  10. The distance of the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i-...

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  11. The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and par...

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  12. The vector equation of the plane containing the line vec r=(-2 hat ...

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  13. A plane meets the coordinate axes at A ,\ B ,\ C such that the centroi...

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  14. The distance between the point (3,4, 5) and the point where the line (...

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  15. A vector parallel to the line of intersection of the planes vec r=dot...

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  16. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  17. The equation of the plane parallel to the lines x-1=2y-5=2z and 3x = 4...

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  18. The distance of the point (-1, -5, -10) from the point of intersection...

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  19. The equation of the plane through the intersection of the plane a x+b ...

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  20. The equation of the plane which cuts equal intersects of unit length o...

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