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If side vec A B of an equilateral trang...

If side ` vec A B` of an equilateral trangle `A B C` lying in the x-y plane `3 hat i ,` then side ` vec C B` can be `-3/2( hat i-sqrt(3) hat j)` b. `-3/2( hat i-sqrt(3) hat j)` c. `-3/2( hat i+sqrt(3) hat j)` d. `3/2( hat i+sqrt(3) hat j)`

A

`-3/2(hati- sqrt3hatj)`

B

`-3/2(hati- sqrt3hatj)`

C

`-3/2(hati + sqrt3hatj)`

D

`3/2(hati + sqrt3hatj)`

Text Solution

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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 side vec A B of an equilateral trangle A B C lying in the x-y plan...

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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 xxvecb) xx (vecc xx vecd) . (veca xx vecd) =0 then which of t...

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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. about to only mathematics

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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 vecaxx(vecbxxvecc)=(vecaxxvecb)xxvecc for non coplanar veca,vecb,v...

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