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Show that the line through the point(4,7...

Show that the line through the point(4,7,8),(2,3,4)is parallel to the line through the points(-1,-2,1)and (1,2,5)

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find the co-ordinates of the foot of the perpendicular from the point ...

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  2. Write the vector equation of a line through the point (1,2,3) and para...

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

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  4. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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  5. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  6. Find the direction cosines of the unit vector perpendicular to the pla...

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  7. Find the equation of the plane through the points (1,0,-1),(3,2,-2)and...

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  8. A variable plane passes through a fixed point (a,b,c) and meets the co...

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  9. Find the equation plane passing through the point (2,3,1 )and perpendi...

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

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  11. Prove the following by vector method. Median to the base of an isoscel...

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  12. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

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  13. show that the direction of cosines of a vector equally inclined to the...

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  14. If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

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  15. If D is the mid point of side BC of a triangleABC, show by vector meth...

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  16. Find the scalar components of a unit vector which is perpendicular to ...

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  17. Decompose the vector 6hati-3hatj-6hatk into vectors which are parallel...

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  18. Express 2hati-hatj+3hatk as the sum of a vector parallel, and a vector...

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  19. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  20. Find the angle between the following pair of the planes.2x+y+2z-4=0and...

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