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If veca xx (vecbxx vecc)= (veca xx vecb...

If ` veca xx (vecbxx vecc)= (veca xx vecb)xxvecc` then

A

`(veccxxveca)xx vecb =vec0`

B

`vecc xx (vecaxxvecb)=vec0`

C

`vecbxx (vecc xxveca)=vec0`

D

`(veccxxveca)xxvecb=vecb xx (veccxxveca) = vec0`

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The correct Answer is:
a,c,d
` veca xx (vecbxxvecc)=(vecaxxvecb)xxvecc`
`or (veca.vecc)vecb- (veca. Vecb) vecc = (veca.vecc) vecb- (vecc.vecv)veca `
`or (veca -vecb) vecc - (vecc.vecb)veca=0`
`or (vecc xx veca) xx vecb =0`
`or vecb xx (vecc xx veca) = (vecc xx veca) xx vecb =vec0`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. If vectors vecA=2hati+3hatj+4hatk, vecB=hati+hatj+5hatk and vecC form ...

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  2. If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc= ...

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  3. If veca xx (vecbxx vecc)= (veca xx vecb)xxvecc then

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  4. A vector vecd is equally inclined to three vectors veca=hati-hatj+hatk...

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  5. A parallelogram is constructed on the vectors veca=3vecalpha-vecbeta, ...

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  6. <b>Statement 1:</b> Vector vecc = -5hati + 7 hatj + 2hatk is along th...

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  7. Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the ...

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  8. Statement 1: Distance of point D( 1,0,-1) from the plane of points A( ...

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  9. Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr...

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  10. Statement 1: If a(1)hati + a(2)hatj + a(3)hatk, vecb(1)hati+b(2)hatj +...

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  11. Statement 1: vecA=2hati + 3hatj + 6hatk , vecB=hati + hatj - 2hatk and...

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  12. Statement 1: veca, vecb and vecc arwe three mutually perpendicular uni...

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  13. Consider three vectors veca , vecb and vecc Statement 1: vecaxxvecb ...

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  14. Let vecu, vecv and vecw be three unit vectors such that vecu + vecv + ...

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  15. Let vecu, vecv and vecw be three unit vectors such that vecu + vecv + ...

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  16. Let vecu, vecv and vecw be three unit vectors such that vecu + vecv + ...

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  17. Vectors vecx,vecy,vecz each of magnitude sqrt(2) make angles of 60^0 w...

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  18. Vectors vecx,vecy,vecz each of magnitude sqrt(2) make angles of 60^0 w...

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  19. Vectors vecx,vecy,vecz each of magnitude sqrt(2) make angles of 60^0 w...

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  20. If vecxxxvecy=veca, vecy xx vecz=vecb, vecx.vecb=gamma, vecx.vecy=1 an...

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