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The scalar vecA. (vecB.vecC)xx(vecA + ve...

The scalar `vecA. (vecB.vecC)xx(vecA + vecB + vecC) ` equals

A

0

B

`[vecA vecB vecC]+ [vecB vecC vecA] `

C

`[vecA vecB vecC]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a
`vecA.(vecB + vecC) xx (vecA + vecB +vecC)`
` vecA . ([vecB xx vecA +vecB xx vecB + vecC + vecC xx vecA + vecC xx vecB +vecC xx vecC]`
`= vecA.vecBxxvecA + vecA.vecBxxvecC+vecA.vecCxx vecA + vecA+ vecC xx vecB " " ( "using" veca xx veca =0)`
`0+[vecA vecB vecC]+0+ [vecA vecC vecB]`
`[vecA vecB vecC]-[vecA vecB vecC]`
=0
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CENGAGE ENGLISH-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -single correct answer type
  1. The scalar vecA. (vecB.vecC)xx(vecA + vecB + vecC) equals

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  2. For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc| = |v...

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

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  4. Let veca,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are ...

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  5. Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...

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  6. If veca,vecb and vecc are non coplanar and unit vectors such that veca...

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  7. Let vecu,vecv and vecw be vectors such that vecu+ vecv + vecw =0 if |v...

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  8. If veca, vecb and vecc are three non-coplanar vectors, then (veca + ve...

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  9. vecp, vecq and vecr are three mutually prependicular vectors of the sa...

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  10. Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vecto...

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  11. Let veca = 2i + j+k, vecb = i+ 2j -k and a unit vector vecc be coplana...

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  12. If the vectors veca, vecb and vecc form the sides, BC , CA and AB, res...

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  13. Let vectors veca, vecb veca and vecd be such that (veca xxvecb)xx (vec...

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  14. If veca,vecb, vecc are unit coplanar vectors then the scalar triple pr...

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  15. if hata, hatb and hatc are unit vectors. Then |hata - hatb|^(2) + |hat...

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  16. If veca and vecb are two unit vectors such that veca + 2vecb and 5 vec...

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  17. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

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  18. Find the value of a so that the volume of the parallelopiped formed b...

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  19. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

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  20. The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hat...

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