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if veca + vecb + vecc=0, then show that ...

if `veca + vecb + vecc=0`, then show that `veca xx vecb = vecb xx vecc = vecc xx veca`.

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If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

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If veca, vecb, vecc and vecd ar distinct vectors such that veca xx vecc = vecb xx vecd and veca xx vecb = vecc xx vecd . Prove that (veca-vecd).(vecc-vecb)ne 0, i.e., veca.vecb + vecd.vecc nevecd.vecb + veca.vecc.

If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc = 0 and lambda = veca.vecb + vecb.vecc+vecc.veca and d = veca xx vecb + vecb xx vecc + vecc xx veca , then (lambda,vecd) is

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CBSE COMPLEMENTARY MATERIAL-VECTORS -FOUR MARKS QUESTIONS
  1. If veca, vecb and vecc are the position vectors of vertices A,B,C of a...

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  2. Let veca , vecb , vecc be unit vectors such that veca .vecb =0=veca....

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  3. if veca + vecb + vecc=0, then show that veca xx vecb = vecb xx vecc = ...

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  4. If veca = hati + hatj + hatk, vecc = hatj - hatk are given vectors, th...

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  5. Let, veca , vecb and vecc be three non zero vectors such that vecc is ...

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  6. If the vectors vecalpha = a hati + hatj + hatk, vecbeta = hati + b hat...

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  7. Find the altitude of a parallelepiped determined by the vectors veca, ...

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  8. Prove that the four points (4hati + 5 hatj+hatk), - (hatj +hatk),(3hat...

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  9. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

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  10. Decompose the vector 6 hati - 3 hatj - 6 hatk into vectors which are p...

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  11. If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, v...

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  12. If veca, vecb and vecc are three non zero vectors such that veca xx v...

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  13. For any three vectors veca, vecb, vecc the value of [(veca-vecb, vecb-...

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  14. If [veca vecbvecc]=2 find the volume of the parallelepiped whose co-te...

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  15. If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the ang...

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  16. If the magnitude of the vector product of the vector hati+hatj+hatk wi...

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  17. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd show that (veca-vec...

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  18. Find a vector of magnittude sqrt(171) which is perpendicular to both o...

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  19. If a is a nonzero real number prove that the vectors overset(r) alph...

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  20. If with reference to a right handed system of mutually perpendicula...

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