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Find the direction ratios and direction cosines of the vector joining the points (4,7,2) and (5,11,-4).

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the direction cosines of a line passing through the points (1,0,0...

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  2. Find the direction cosines of the lines joining the points: (-1,-1,-1)...

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  3. Find the direction ratios and direction cosines of the vector joining ...

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  4. Write the direction cosines of the vector : -2hati+hatj-5hatk

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  5. Write the direction cosines of the vector : hati+2hatj+3hatk

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  6. Find the length of the projection of the line segment joining (3,4,5) ...

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  7. Show that the following points are collinear : (1,2,3) , (2,6,3) , (3,...

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  8. Find the acute angle between two lines whose direction ratios are <2,3...

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  9. Find the obtuse angle between two lines whose direction ratios are : <...

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  10. Find the angle between the lines whose direction ratios are : a,b,c...

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  11. Find the direction cosines of the sides of the triangle whose vertices...

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  12. Show that the three lines with direction cosines 12/13, -3/13, -4/13, ...

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  13. The angle between the lines whose direction cosines are given by the ...

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  14. Find the angle between the lines whose direction cosines are given by ...

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  15. Find the area of the triangle ABC whose vertices are : A(1,2,4), B(-2,...

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  16. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel...

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  17. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  18. Determine the value of k so that the lie joining the points A(k,1,-1),...

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  19. Prove that the angle between any two diagonals of a cube is cos^-1frac...

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  20. Find the projection of the line segment joining the points: (2,-3,0), ...

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