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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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`vecaxx (vecaxxvecb) =1/2 vecb Rightarrow(veca.vecb)veca-(veca.veca) vecb= 1/2vecb`
`Rightarrrow veca.vecb = 0 , veca. Veca = -1/2 ` ( which is not possible).
thus, the given information is inconsistent.
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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  3. If veca and vecb be two non-collinear unit vectors such that vecaxx(ve...

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

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

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  6. If vec p , vec q , vec r denote vector vec bxx vec c , vec cxx vec a...

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

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

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  9. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...

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  11. If |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(c-a)^2|=0...

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  13. Prove that the smaller angle between any two diagonals of a cube is co...

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  14. In A B C , a point P is taken on A B such that A P//B P=1//3 and poin...

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  16. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

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