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If the d.cs of a straight line be << 2/7...

If the d.cs of a straight line be `<< 2/7 , 3/7, k/7 >>`, then what is the value of k ?

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. If O be the origin and P is the point (3,4,5),what are the direction c...

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  2. If a line makes angles alpha, beta  and gamma  with the positive direc...

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  3. If the d.cs of a straight line be << 2/7 , 3/7, k/7 >>, then what is t...

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  4. Fill in the blanks in the length of the projection of the line segment...

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  5. The projection of a line segment axes are 3,4,12.Find the length and d...

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  6. Find the equation of the plane passing through the line x = y = z and ...

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  8. Write the equation of the plane 3x-4y+z+5=0 in normal form.

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  9. Write the equation of the plane x+3y-7z+2=0 in the intercept from.

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  10. Find the equation of the plane passing through the point (2,3,1) and d...

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  11. Show that the ax+by+d =0 is perpendicular to xy-plane.

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  12. What are the direction cosines of the normal to the plane X+y+1=0?

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  13. Write the equation of the plane passing through (3,-6,-9) and parallel...

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  14. Write the equation of the plane passes through y-axis and z-axis.

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  15. What is the distance of the point (1,1,1)from the plane y=x?

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  16. Find the direction cosines of the line segment joining (3,6,1) and (4,...

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  17. What is the number of line which are equally inclined to the axes?

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  18. If the equation of x-axis is x/a=(y-d)/(b)=z/c, what is the value of a...

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  19. What are the direction cosines of the line (x-2)/(2)=(y+4)/(3)=(z-1)/6

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  20. Write the symmetrical from of the line X=5, y=4.

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