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Find the distance of the point with posi...

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.`

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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

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 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 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 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.

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 .

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)

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)

Find the equation of the plane through the point 2 hat i+ hat j- hat k and passing through the line of intersection of the plane vec rdot(( hat i+3 hat j- hat k)=0\ a n d\ vec rdot(( hat j+2 hat k)=0.

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.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  2. Find the co-ordinates of the foot of perpendicular and the length of p...

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  3. Find the distance of the point with position vector -hat i-5 hat j-10...

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  4. Find the length and the foot of the perpendicular from the point (1, 1...

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  5. Find the coordinates of the foot of the perpendicular and the perpe...

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  6. Find the direction cosines of the unit vector perpendicular to the pla...

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  7. Find the coordinates of the foot of the perpendicular drawn from the ...

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  8. Write the equation of the plane parallel to XOY-plane and passing t...

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  9. Write the equation of the plane parallel to YOZ-plane and passing t...

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  10. Write the equation of the plane passing through points (a ,\ 0,\ 0),\ ...

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  11. Write the general equation of a plane parallel to X-axis.

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  12. Write the intercepts made by the plane 2x-3y+4z=12 on the coordinate a...

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  13. Write the ratio in which the plane 4x+5y-3z=4 divides the line segment...

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  14. Write the plane vec rdot((2 hat i+3 hat j-6 hat k)=14 in normal form.

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  15. Write the equation of the plane vec r= vec a+lambda vec b+mu vec c\ ...

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  16. Write a vector normal to the plane vec r=l vec b+m vec c

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  17. Write the equation of the plane passing through (2, -1,1) and parallel...

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  18. Write the equation of the plane containing the lines vec r= vec a+lam...

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  19. Write the position vector of the point where the line vec r= vec a+la...

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  20. Write the value of k for which the line (x-1)/2=(y-1)/3=(z-1)/(k) is p...

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