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Write a vector normal to hati+hatk and h...

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

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Determine the area of the parallelogram whose sides are the vectors 2hati + 2hatj and hati -hatk .

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Write the volume of the parallelopiped whose sides are given by-hatj, ...

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

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

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

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

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

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

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

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  9. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

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  10. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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  11. Show that veca, vecb and vec c are coplanarif veca+vecb,vecb+vecc and ...

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  12. Find the vector vecp which is perpendicular to both vecalpha = 4hati +...

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  13. If veca=hati+hatj+hatk and vecb=hati-hatk . Find a vector vecc such th...

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  14. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

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  15. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

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  16. Prove the following by vector method. in any triangle ABC, a = bcosC...

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

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  18. For veca = hat(i) + hat(j), vecb = -hat(i) + 2hat(k), vecc = hat(j) + ...

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  19. Prove the following by vector method. The diagonals of a rhombus are a...

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  20. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

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