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Find the image of the point with positio...

Find the image of the point with position vector `3 hat i+ hat j+2 hat k` in the plane ` vec r.(2 hat i- hat j+ hat k)=4.` Also, find the position vectors of the foot of the perpendicular and the equation of the perpendicular line through `3 hat i+ hat j+2 hat kdot`

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

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

Find the distance between the points A and B with position vectors hat i- hat j and 2 hat i+ hat j+2 hat kdot

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find the foot of the perpendicular drawn from the point hat i+6 hat j+3 hat k to the line vec r= hat j+2 hat k+lambda( hat i+2 hat j+3 hat k)dot Also, find the length of the perpendicular.

Find the sum of the following vectors vec a= hat i-2 hat j ,\ vec b=2 hat i-3 hat j ,\ vec c=2 hat i+3 hat kdot

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

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  2. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  3. Find the image of the point with position vector 3 hat i+ hat j+2 hat ...

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  4. Find the length and the foot of perpendicular from the point (1,3//...

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  5. Find the distance between the point with position vector hat i-5 hat ...

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  6. Find the equation of the plane through the intersection of the planes ...

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  7. Show that the plane whose vector equation is vec rdot( hat i+2 hat j-...

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  8. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

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  9. Show that the lines vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat ...

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  10. Find the distance of the point P(-1,-5,-10) from the point of intersec...

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  11. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  12. Show that the plane whose vector equation is vec r*( hat i+2 hat j= h...

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  13. Find the equation of the plane passing through the point (0,7,-7) and...

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  14. Find the equation of the plane passing through the points (1,-1,2)a n ...

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  15. Find the equation of the plane passing through the point whose coor...

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  16. Find the equation of the plane passing through the point (1,1,-1)a n d...

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  17. Find the equation of the plane passing through the point (-1,-1,2)a n ...

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  18. Find the angle between the planes x+y+2z=9a d n2x-y+z=15.

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  19. If the angle between the planes vec rdot.(2 hat i- hat j+lambda hat k...

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  20. Find the vector equation of the plane passing through the points 3 hat...

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