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If the sides `vec(AB)` of an equilateral triangle ABC lying in the xy-plane is `3hati` then the side `vec(CB)` can be (A) `-3/2(hati-sqrt(3))` (B) `3/2(hati-sqrt(3))` (C) `-3/2(hati+sqrt(3))` (D) `3/2(hati+sqrt(3))`

A

`-3/2(hati- sqrt3hatj)`

B

`-3/2(hati- sqrt3hatj)`

C

`-3/2(hati + sqrt3hatj)`

D

`3/2(hati + sqrt3hatj)`

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The correct Answer is:
b,d
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. A vector vecd is equally inclined to three vectors veca=hati-hatj+hatk...

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  2. Vectors perpendicular tohati-hatj-hatk and in the plane of hati+hatj+h...

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  3. If the sides vec(AB) of an equilateral triangle ABC lying in the xy-pl...

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  4. Let hata be a unit vector and hatb a non zero vector non parallel to v...

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  5. veca ,vecb and vecc are unimdular and coplanar. A unit vector vecd is ...

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

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  7. Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(vec...

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  8. if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 t...

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  9. Let veca, vecb, and vecc be three non- coplanar vectors and vecd be a ...

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  10. If veca, vecb and vecc are three unit vectors such that veca xx (vecb ...

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  11. If in triangle ABC, vec(AB) = vecu/|vecu|-vecv/|vecv| and vec(AC) = (...

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  12. [vecaxx vecb " " vecc xx vecd " " vecexx vecf] is equal to

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

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  14. If (veca xxv vecb) xx (vecc xx vecd) . (veca xx vecd) =0 then which of...

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  15. A,B C and dD are four points such that vec (AB) = m(2 hati - 6 hatj +...

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  16. If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...

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  17. Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(...

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  18. If vectors vecA=2hati+3hatj+4hatk, vecB=hati+hatj+5hatk and vecC form ...

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

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

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