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Show that the line joining the point A(...

Show that the line joining the point A(1,-1,2) and B(3, 4, -2) is perpendicular to the line joining the points C(0,3,2) and D(3,5,6).

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RS AGGARWAL-FUNDAMENTAL CONCEPTS OF 3-DIMENSIONAL GEOMETRY-Exercise
  1. Find the direction of a line segment whose direction ratios are: 2,-...

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  2. Find the direction ratios and the direction cosines of the line segmen...

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  3. Show that the line joining the point A(1,-1,2) and B(3, 4, -2) is per...

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  4. Show that the line joining the origin to the point (2,1,1) is perpe...

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  5. Find the value of p for which the line through the points A(4, 1, 2) a...

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  6. If O be the origin and P(2, 3, 4) and Q(1, -2,1) be any two points, sh...

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  7. Show that the line segment joining the points A(1, 2, 3) and B(4, 5, 7...

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  8. If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...

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  9. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

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  10. Show that the point A(-2, 4, 7), B(3, -6, -8) and C(1, -2, -2) are co...

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  11. Find the value of p for which the points A(-1, 3, 2), B(-4, 2, -2), a...

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  12. Find the angle between the two lines whose direction cosines are: (...

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

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  14. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

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  15. Find the angle between two lines whose direction ratios are proport...

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  16. Find the angle between the vectors vecr(1)=(3hati-2hatj+hatk) and hat...

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  17. Find the angle made by the following vector with the coordinates axes:...

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  18. Find the coordinates of the foot of perpendicular drawn from th poi...

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