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Write the equation of the line passing t...

Write the equation of the line passing through (-3, 1, 2) and perpendicular to the plane 2y - z=3.

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SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Write the ratio in which the line joining the points (2,3,4) and (-3,5...

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  2. Write the angle between the planes 3x -5y + 2z-8 = 0 and 2x + 4y + 7z ...

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  3. Write the equation of the line passing through (-3, 1, 2) and perpend...

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  4. Write the direction cosines of Z-axis.

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  5. What is the distance of the point (4, 5, -3) from y-axis ?

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

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

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  8. What are the d.cs of the line through (1,-1, 1)and (2, -5,-3)?

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  9. Show that the point (3, -2, 4), (1, 1, 1) and (-1, 4,-2)are collinear...

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  10. What is the equation of x-axis in symmetric form.

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  11. What are the d.cs of the line x = y = z.

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  12. Write down the d.rs of the line 2x = 3y = 4z.

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  13. Write the equation of the plane passing through the point (3, 1, 2) a...

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  14. Find the equation of the line through the point (2, 3, 5) and parallel...

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  15. Show that lines vecr = (hat(i) + hat(j) - hat(k)) + lambda(3hat(i) - h...

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  16. The position vectors of two points A and B are 3hati+hatj+2hatk and ha...

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  17. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  18. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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  19. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  20. Find the shortest distance between the following lines vecr = 2hat(i) ...

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