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If hati +hatj+hatk and 2hati -alphahatj+...

If `hati +hatj+hatk` and `2hati -alphahatj+3hatk` are orthogonal to each other then find `alpha`

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Prove the following by vector method. An angle inscribed in a semi-cir...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If vec a = (2,-2,1), vec b = (2,3,6) and vec c = (-1,0,2),Find the mag...

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  17. Find the angle between the vectors 3hati+ 4hatj and2hati+hatj+hatk.

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  18. Find the unit vector in the direction of veca-vecb where veca= 4hati +...

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  19. If a and b are perpendicular vectors show that (veca+vecb)^2 = (veca-v...

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  20. Prove that vecaxx(vecbxxvecc)+ vecbxx(veccxxveca)+veccxx(vecaxxvecb) =...

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