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If vecA, vecB, vecC are non-coplanar vec...

If `vecA, vecB, vecC` are non-coplanar vectors then `(vecA.vecBxxvecC)/(vecCxxvecA.vecB)+(vecB.vecAxxvecC)/(vecC.vecAxxvecB)=`

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`(vecA.vecB xx vecC)/(vecCxxvecA.vecB)+(vecB.vecAxxvecC)/(vecC.vecAxxvecB)`
`([vecA vecBvecC])/([vecA vecBvecC])+ (-[vecAvecBvecC])/([vecA vecB vecC])=0`
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Assertion : If vecA, vecB,vecC are any three non coplanar vectors then (vecA.vecBxxvecC)/(vecCxxvecA.vecB)+(vecB.vecAxxvecc)/(vecC.vecAxxvecB)=0 , Reason: [veca vecb vecc]!=[vecb vecc veca] (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC )/(vecCxxvecA.vecB)+(vecB. vecA xx vecC)/( vecC. vecA xx vecB) is equal to

If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecb xx vecc))/(vecb.(vecc xx veca)) + (vecb.(vecc xx veca))/(vecc.(veca xx vecb)) +(vecc.(vecb xx veca))/(veca. (vecb xx vecc)) is equal to:

If veca, vecb, vecc are non-coplanar non-zero vectors, then (vecaxxvecb)xx(vecaxxvecc)+(vecbxxvecc)xx(vecbxxveca)+veccxxveca)xx(vecxxvecb) is equal to

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Let veca,vecb,vecc be non coplanar vectors and vecp= (vecbxxvecc)/([veca vecb vecc]), vecq= (veccxxvecq)/([veca vecb vecc]), vecr= (vecaxxvecb)/([veca vecb vecc]) . What is the vaue of (veca-vecb-vecc).vecp(vecb-vecc-veca).vecq+(vecc-veca-vecb).vecr? (A) 0 (B) -3 (C) 3 (D) -9

If veca, vecb and vecc are three non-coplanar vectors, then find the value of (veca.(vecbxxvecc))/(vecb.(veccxxveca))+(vecb.(veccxxveca))/(vecc.(vecaxxvecb))+(vecc.(vecbxxveca))/(veca.(vecbxxvecc))

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. The unit vector perendicular to the plane determined by P (1,-1,2) ,C(...

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  2. the area of the triangle whose vertices are A ( 1,-1,2) , B ( 1,2, -1)...

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  3. If vecA, vecB, vecC are non-coplanar vectors then (vecA.vecBxxvecC)/(v...

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  4. If vecA=(1,1,1) and vecC=(0,1,-1) are given vectors then find a vector...

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  5. Let vecb=4hati+3hatj and vecc be two vectors perpendicular to each oth...

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  6. The components of a vector veca along and perpendicular to a non-zero ...

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  7. A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + ve...

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  8. A non vector veca is parallel to the line of intersection of the plane...

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  9. If vecb and vecc are any two mutually perpendicular unit vectors and v...

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  10. Let veca, vecb and vecc be three vectors having magnitudes 1,1 and 2 r...

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  11. A, B C and D are four points in a plane with position vectors, veca, v...

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  12. If vecA=lamda(vecuxxvecv)+mu(vecvxxvecw)+v(vecwxxvecu) and [vecu vecv ...

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  13. If veca = hatj + sqrt3hatk vecb= - hatj + sqrt3 hatk and vecc = 2sqrt3...

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  14. Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...

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

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  16. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

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  17. The scalar vecA.(vecB+vecC)xx(vecA+vecB+vecC) equals (A) 0 (B) [vecA v...

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  18. For non zero vectors veca,vecb, vecc |(vecaxxvecb).vec|=|veca||vecb|...

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  19. The volume of he parallelepiped whose sides are given by vec O A=2...

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  20. Let veda,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are ...

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