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For three vectors ` vec u , vec va n d vec w` which of the following expressions is not equal to any of the remaining three ? a.` vec u .( vec vxx vec w)` b. `( vec vxx vec w). vec u` c. ` vec v.( vec uxx vec w)` d. `( vec uxx vec v).vec w`

A

`vecu.(vecvxx vecw)`

B

`(vecvxx vecw).vecu`

C

`vecv.(vecuxx vecw)`

D

`(vecuxx vecv).vecw`

Text Solution

Verified by Experts

The correct Answer is:
c
`[ vecu vecv vecw] = [vecv vecw vecu] = [vecw vecu vecv]`
but `[vecv vecu vecw]=- [vecu vecv vecw]`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

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  2. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

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  3. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(2)hatj+b(3)hatk and vecc=c(...

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  4. The number of vectors of unit length perpendicular to vectors vec ...

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  5. veca=2hati-hatj+hatk,vecb=hatj+2hatj-hatk,vecc=hati+hatj -2 hatk . A v...

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  6. For three vectors vec u , vec va n d vec w which of the following exp...

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  7. Which of the following expressions are meaningful? a. vec u ( vec vx...

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  8. Let A={2,3,4}, B={7,8,9,10} and f={(2,7),(3,8),(4,9)} be a function f...

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  9. Vector 1/3 (2hati - 2hatj +hatk) is

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  10. Let vec A be a vector parallel to the line of intersection of plan...

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  11. The unit vector parallel to the resultant of the vectors hati+hatj+hat...

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  12. Let vecx,vecy and vecz be three vector each of magnitude sqrt(2) an...

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  13. Let Delta PQR be a triangle Let veca=bar(QR),vecb=bar(RP)and vecc=b...

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  14. Draw the graph of y=loge(−x), flip the graph of y=loge x over the y-ax...

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  15. Find the derivative of y = ln x^2

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  16. Find the derivative of y = 2 ln (3x^2 − 1)

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  17. If veca and vecb are vectors in space given by veca=(hati-2hatj)/(sqrt...

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  18. Let veca=-hati-hatk,vecb =-hati + hatj and vecc =hat i + 2hatj + 3hatk...

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  19. If veca, vecb and vecc are unit vectors satisfying |veca-vecb|^(2)+|ve...

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  20. Let veca,vecb,and vecc be three non-coplanar ubit vectors such the ...

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