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about to only mathematics

A

`1//3`

B

4

C

`(3sqrt3)//4`

D

`4sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
d

` (hati + hatj) xx (hatj xx hatk ) =hati -hatj + hatk ` so that unit vector perpendicular to the plane of `hati +hatj and hatj + hatk ` is `1/sqrt3 (hati -hatj +hatk)`
Required volume = ` 3/ sqrt3 |{:(1,-1,1),(1,1,-1),(-1,1,1):}|= 4sqrt3`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Let vecf(t)=[t] hat i+(t-[t]) hat j+[t+1] hat k , w h e r e[dot] deno...

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  2. If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vec...

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  3. about to only mathematics

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  4. If vecd=vecaxxvecb+vecbxxvecc+veccxxveca is a on zero vector and |(vec...

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  5. If |veca|=2 and |vecb|=3 and veca.vecb=0, " then " (vecaxx(vecaxx(veca...

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  6. If the two diagonals of one its faces are 6 hat i+6 hat ka n d4 hat ...

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  7. The volume of a tetrahedron fomed by the coterminus edges veca , vecb ...

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  8. If veca ,vecb and vecc are three mutually orthogonal unit vectors , th...

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  9. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b...

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  10. Given veca=xhati+yhatj+2hatk,vecb=hati-hatj+hatk , vecc=hati+2hatj, ve...

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  11. 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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  12. Let vecr, veca, vecb and vecc be four non-zero vectors such that vecr....

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  13. If veca, vecb and vecc are such that [veca vecb vecc] =1, vecc= lambda...

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  14. If 4 vec a+5 vec b+9 vec c=0, then ( vec axx vec b)xx[( vec bxx vec c)...

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  15. Value of [ vec axx vec b vec axx vec c vec d] is always equal to ( vec...

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  16. Let vec aa n d vec b be mutually perpendicular unit vectors. Then f...

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  17. Let veca and vecb be unit vectors that are perpendicular to each other...

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  18. veca and vecb are two vectors such that |veca|=1 ,|vecb|=4 and veca. V...

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  19. Then for any arbitary vector veca, (((veca xx vecb) + (veca xx vecb))...

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  20. If veca .vecb =beta and veca xx vecb = vecc ," then " vecb is

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