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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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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|

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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. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecb xx vecc...

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  2. For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc| = |v...

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

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  4. If veca,vecb, vecc are unit coplanar vectors then the scalar triple pr...

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  5. veca, vecb,vecc are non-coplanar vectors and vecp,vecq,vecr are define...

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

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  7. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

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  8. If vecd=lambda(vecaxxvecb)+mu(vecbxxvecc)+t(veccxxveca).[veca,vecbvecc...

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  9. Let vecb and vecc be non-collinear vectors. If veca is a vector such t...

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  10. Let O be the centre of a regular pentagon ABCDE and vec(OA) = veca, th...

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  11. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

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  12. Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...

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  13. A, B C and D are four points in a plane with position vectors, veca, v...

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  14. vecx and vecy are two mutually perpendicular unit vectors. If the vect...

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  15. If non-zero vectors veca and vecb are perpendicular to each ot...

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  16. The volume of the tetrahedron whose vertices are the points with posit...

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  17. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

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  18. ABC is isosceles triangle, right angled at A. The resultant of the for...

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  19. If (atimesb)timesc=atimes(btimesc), where a, b and c are any three vac...

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  20. Let veca, vecb and vecc be non-zero vectors such that no two are colli...

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