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prove that (veca.(vecbxxhati))hati+(veca...

prove that `(veca.(vecbxxhati))hati+(veca.(vecbxxhatj))hatj+ (veca.(vecbxxhatk))hatk=vecaxxvecb`

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`veca.(vecbxx hati)hati = ((vecaxxvecb).hati)hati`
`if veca xx vecb = xhati + yhatj + zhatk , then (veca xx vecb). Hati = x `
similarly, `(veca. (vecb xx vecj)) hatj = y and (veca . (vecb xx veck)) =z `
`Rightarrow (veca.(vecb.hati)) hati+ (veca . vecb xx vecj)) hatj + (veca .(vecb xx veck)) hatk`
= xhati + y hatj = zhatk = veca xx vecb`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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  2. If veca= vecP + vecq, vecP xx vecb = vec0 and vecq. vecb =0 then prove...

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  3. prove that (veca.(vecbxxhati))hati+(veca.(vecbxxhatj))hatj+ (veca.(vec...

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

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

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

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

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

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

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

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

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  12. 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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  13. 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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  14. OABC is a tetrahedron where O is the origin and A,B,C have position ve...

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

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

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  19. Find the volume of a parallelopiped having three coterminus vectors of...

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