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Find a vectorvecb such that vecaxxvecb=v...

Find a vector`vecb` such that `vecaxxvecb=vecc` and `veca.vecb` = 3 where `veca = hati + hatj+hatk , vecc = hatj-hatk`

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Find a unit vector perpendicular to both of the vectors veca + vecb and veca - vecb where veca = hati + hatj + hatk and b = hati+2hatj+3hatk .

If veca = hati+2hatj-hatk , vecb = hati+hatj+2hatk , vecc = 2hati-hatj then

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

Find the unit vector in the direction of veca-vecb where veca= 4hati + 4hatj+hatk and vecb= 3hati-11hatk .

If veca,vecb and vecc are three vectors such that veca x vecb = vecc and vecb x vecc = veca , then prove that veca,vecb and vecc are mutually at right angles and |vecb| = 1,|vecc| = |veca|

Find the value of lambda so that the vectors veca and vecb are perpendicular to each other. veca = hati+hatj+lambdahatk , vecb = 4hati-3hatk

Find the scalar and vector projection of veca on vecb . veca = hati-hatj-hatk , vecb = 3hati+hatj+3hatk .

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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