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Find the direction cosines of the unit v...

Find the direction cosines of the unit vector perpendicular to the plane ` -> rdot(6 hat i-3 hat j-2 hat k)+1=0`passing through the origin.

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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 direction cosines of perpendicular from the origin to the plane vec rdot(2 hat i-3 hat j-6 hat k)+5=0.

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

Find the vector equation of the line through the origin which is perpendicular to the plane vec rdot(( hat i+2 hat j+3 hat k)=3.

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the length and the foot of the perpendicular from the point (1, 1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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