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Write the plane vec rdot((2 hat i+3 hat...

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

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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.

The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to the plane vec rdot((\ m hat i+3 hat j+ hat k)=4 . Find mdot

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 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 .

Find the equation of a plane through the intersection of the planes vec rdot( hat i+3 hat j- hat k)=5a n d vec rdot(2 hat i- hat j+ hat k)=3 and passing through the point (2,1,-2)dot

Find the position vector of the foot of perpendicular and the perpendicular distance from the point P with position vector 2 hat i+3 hat j+4 hat k to the plane vec rdot(2 hat i+ hat j+3 hat k)-26=0. Also find image of P in the plane.

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 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 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.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the intercepts made by the plane 2x-3y+4z=12 on the coordinate a...

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

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

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

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

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

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

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

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

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  10. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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

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

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

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

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

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

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

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

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

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

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