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Find the direction cosines of the normal...

Find the direction cosines of the normal to the plane `y=3`.

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Verified by Experts

The correct Answer is:
0,1,0
Direction ratios of the normal to the plane are 0,1,0 and `sqrt((-1)^(2)+0^(2)+0^(2))=1`. Hence,the required direction cosines are 0,1,0.
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RS AGGARWAL-THE PLANE-Exercise 28J
  1. Find the direction ratios of the normal to the plane x+2y-3z=5.

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  2. Find the direction cosines of the normal to the plane 2x+3y-z=4.

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  3. Find the direction cosines of the normal to the plane y=3.

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  4. Find the direction cosines of the normal to the plane 3x+4=0.

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  5. Write the equation of the plane parallel to XY-plane and passing throu...

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  6. Write the equation of the plane parallel to YZ-plane and passing throu...

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  7. The equation of a plane parallel to x-axis is

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  8. Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot

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

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  10. Reduce the equation 2x-3y+5z+4=0 to intercept form and find the interc...

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  11. Find the equation of a plane passing through the points A(a,0,0), B(0,...

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  12. Write the value of k for which the planes 2x-5y+kz=4 and x+2y-z=6 are ...

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  13. Find the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7...

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  14. Find the angle between the planes vecr.(hati+hatj)=1 and vecr.(hati+ha...

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  15. Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr....

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  16. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  17. Find the angle between the line vecr=(hati+hatj-2hatk)+lambda(hati-hat...

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  18. Find the value of lambda such that the line (x-2)/6=(y-1)/lambda=(z+5)...

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  19. Find the equation of the plane passing through (a,b,c) and paralle tot...

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

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