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If veca and vecb be two non-collinear un...

If `veca and vecb` be two non-collinear unit vectors such that `vecaxx(vecaxxvecb)=-1/2vecb` ,then find the angle between `veca and vecb`.

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To solve the problem, we start with the given equation involving the cross product of two vectors: **Given:** \[ \vec{A} \times (\vec{A} \times \vec{B}) = -\frac{1}{2} \vec{B} \] **Step 1: Use the vector triple product identity.** ...
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CENGAGE ENGLISH-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise 2.3
  1. If veca , vecb , vecc and vecd are four non-coplanar unit vectors such...

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  2. prove that if [vecl vecm vecn] are three non-coplanar vectors, then [v...

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  3. if the volume of a parallelpiped whose adjacent egges are veca=2hati+3...

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  4. If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the v...

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  5. If vecx.veca=0vecx.vecb=0 and vecx.vecc=0 for some non zero vector vec...

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  6. If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the v...

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  7. If veca, vecb,vecc are three non-coplanar vectors such that veca xx ve...

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  8. If veca= vecP + vecq, vecP xx vecb = vec0 and vecq. vecb =0 then prove...

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  9. Prove that (veca.(vecbxxhati))hati+(veca.(vecbxxhatj))hatj+ (veca.(vec...

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  10. for any four vectors veca,vecb, vecc and vecd prove that vecd. (vecax...

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  11. If veca and vecb be two non-collinear unit vectors such that vecaxx(ve...

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  12. show that (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) if and only if veca a...

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  13. Let veca,vecb and vecc be the non zero vectors such that (vecaxxvecb)x...

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  14. If vecp, vecq , vecr denote vectors vecbxxvecc, vecc xx vecc xx veca, ...

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  15. Let veca, vecb , vecc be non -coplanar vectors and let equations veca'...

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  16. Given unit vectors hatm hatn and hatp such that angle between hatm and...

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  17. veca,vecb, vecc arwe threee unit vectors and every two are two incline...

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  18. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(1)hati + b(2)hatj + b(3)hat...

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