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The position vectors of the points A, B,...

The position vectors of the points A, B, C and D are `4hati+3hatj-hatk`, `5hati+2hatj+2hatk`, `2hati-2hatj-3hatk` and `4hati-4hatj+3hatk` respectively. Show that AB and CD are parallel.

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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  2. If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find...

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  3. The position vectors of the points A, B, C and D are 4hati+3hatj-hatk,...

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  4. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  5. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

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  6. Prove the following by vector method. An angle inscribed in a semi-cir...

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  7. If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbx...

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  8. If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...

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  9. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

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  10. Find a vectorvecb such that vecaxxvecb=vecc and veca.vecb = 3 where ve...

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  11. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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  12. Determine the area of the parallelogram whose sides are the vectors 2h...

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  13. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  14. Find the scalar projection of the vector veca = 3hati+6hatj + 9hatk on...

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  15. Find the value of lambda such that the following vectors are coplanar:...

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  16. Prove that four points with position vectors hati+hatj-3hatk, 2hati -h...

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  17. Using vector method find the area of the triangle with vertices (1, 0,...

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  18. Write the volume of the parallelopiped whose sides are given by-hatj, ...

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  19. If the magnitude of the difference of two unit vectors is sqrt3 then f...

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  20. Write a vector normal to hati+hatk and hati+hatj.

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