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If veca + 2 vecb + 3 vecc = vec0 " then...

If `veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc + vecc xx veca= `

A

3

B

4

C

5

D

6

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The correct Answer is:
D
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Let veca, vecb , vecc be non -coplanar vectors and let equations veca', vecb', vecc' are reciprocal system of vector veca, vecb ,vecc then prove that veca xx veca' + vecb xx vecb' + vecc xx vecc' is a null vector.

If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0 , find the value of veca.vecb+ vecb.vecc + vecc.veca .

If vectors, vecb, vecc and vecd are not coplanar, the prove that vector (veca xx vecb) xx (vecc xx vecd) + ( veca xx vecc) xx (vecd xx vecb) + (veca xx vecd) xx (vecb xx vecc) is parallel to veca .

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|

If veca .vecb =beta and veca xx vecb = vecc ," then " vecb is

if veca xx vecb = vecc ,vecb xx vecc = veca , " where " vecc ne vec0 then (a) |veca|= |vecc| (b) |veca|= |vecb| (c) |vecb|=1 (d) |veca|=|vecb|= |vecc|=1

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to (a) |veca|^(2)(vecb.vecc) (b) |vecb|^(2)(veca .vecc) (c) |vecc|^(2)(veca.vecb) (d) none of these

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

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  2. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

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  3. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

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  4. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  5. If veca is perpendicular to vecb and vecr is a non-zero vector such th...

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  6. Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...

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  7. Given that veca,vecc,vecd are coplanar the value of (veca + vecd).{vec...

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  8. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

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  9. If A(1,-1,-3),B(2,1,-2) and C(-5,2,-6) are the position vectors of the...

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  10. If |{:(veca,vecb,vecc),(veca.veca,veca.vecb,veca.vecc),(veca.vecc,vecb...

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  11. Let vec(A)D be the angle bisector of angle A" of " Delta ABC such th...

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  12. Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vecto...

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  13. If veca and vecb are two unit vectors and theta is the angle between t...

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  14. If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc...

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  15. If veca,vecb,vecc and vecp,vecq,vecr are reciprocal system of vectors,...

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  16. For any four vectors veca, vecb, vecc, vecd the expressions (vecb xx v...

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  17. If veca xx (vec b xx vecc) is perpendicular to (veca xx vecb ) xx vecc...

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  18. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  19. Let p and q be the position vectors of P and Q respectively with respe...

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  20. If in a right-angled triangle A B C , the hypotenuse A B=p ,t h e n...

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