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Let vecr be a unit vector satisfying vec...

Let `vecr` be a unit vector satisfying `vecr xx veca = vecb, " where " |veca|= sqrt3 and |vecb| = sqrt2`, then `(a)vecr= 2/3(veca+ veca xx vecb)` (b)`vecr= 1/3(veca+ veca xx vecb)` (c)`vecr= 2/3(veca- veca xx vecb)` (d)`vecr= 1/3(-veca+ veca xx vecb)`

A

`hatr=(2)/(3)(a+atimesb)`

B

`hatr=(1)/(3)(a+atimesb)`

C

`hatr=(2)/(3)(a-atimesb)`

D

`hatr=(1)/(3)(-a+atimesb)`

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The correct Answer is:
B, D
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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(vec...

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  2. The scalars l and m such that lveca + m vecb =vecc, " where " veca, ve...

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  3. Let vecr be a unit vector satisfying vecr xx veca = vecb, " where " |v...

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  4. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , then

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  5. If veca and vecb are two vectors and angle between them is theta , the...

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  6. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

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  7. vec b,vec c being non-collinear if vec a xx (vec bxxvec c)+(vec a*ve...

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  8. If in triangle A B C , vec A B= vec u/(| vec u|)- vec v/(| vec v|)a n ...

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  9. If a, b and c be the three non-zero vectors satisfying the condition a...

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  10. Given the following informations about the non-zero vectors A, B and C...

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  11. Let a, b and c are non-zero vectors such that they are not orthogonal ...

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  12. Given three vectors U=2hat(i)+3hat(j)-6hat(k), V=6hat(i)+2hat(j)+2hat(...

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  13. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  14. Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc)Al...

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  15. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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  16. If veca and vecb are two unit vectors perpendicular to each other and...

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  17. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

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  18. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then the vectors (a*hat...

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  19. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and v...

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  20. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

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