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Show that the following points whose psi...

Show that the following points whose psitions vectors are given are collinear : `-2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk`

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Show that the following points whose psitions vectors are given are collinear : 5hati+5hatk, 2hati+hatj+3hatk and -4hati+3hatj-hatk

Using scalar triple product prove that the four points whose position vectors are given by the vectors -hatj+hatk , 2hati-hatj-hatk , hati+hatj+hatk and 3hatj+3hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , 4hati-2hatj+hatk , 5hati+hatj+6hatk , 2hati+2hatj-5hatk and 3hati+5hatj are coplanar.

Using scalar triple product, show that the four points given by position vectors hati+hatj+10hatk , 2hati+3hatj+11hatk , 3hati+2hatj+6hatk and hati-2hatj+4hatk are coplanar.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

Show that the following vectors are collinear : 2hati-3hatj+4hatk and -4hati+6hatj-8hatk .

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Using vector method, show that the points whose position vectors are hati-hatj , 4hati-3hatj+hatk and 2hati-4hatj+5hatk form a right angled triangle.

Show that the following vectors are coplanar : hati-hatj+hatk,6hati-hatk and 4hati+2hatj-3hatk .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...

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  2. Show that the following points whose psitions vectors are given are co...

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  3. Show that the following points whose psitions vectors are given are co...

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  4. Find the points on the line through the points A(1,2,3) and B(5,8, 15)...

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  5. Find the equations of the perpendicular from the point (3,-1,11,) to t...

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

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  7. Find the vector equation of a line passing through a point with positi...

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  8. Find the vector equation of a line passing through the point with posi...

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  9. Find the distance of the point (1,2,3) from the line joining the point...

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  10. Find the distance of the point (1,2,3) from the co ordinate axes.

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  11. Find the distance of (-1,2,5) from the plane passing through the poin...

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  12. Find the perpendicular distance of the point (1,0,0) from the line : (...

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  13. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  14. Find the perpendicular distance from the point (1,2,3) to the line : v...

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  15. Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4...

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  16. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  17. Find the coordinates of the foot of the perpendicular drawn from point...

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  18. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

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  19. The perpendicular distance of a corner of a unit cube from a diagonal ...

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  20. Find the image of the point (2,0,1) in the line (x-3)/(1)=(y+2)/(-2)...

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