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The volume of he parallelepiped whose...

The volume of he parallelepiped whose sides are given by ` vec O A=2i-2, j , vec O B=i+j-ka n d vec O C=3i-k` is `4//13` b. `4` c. `2//7` d. `2`

A

`4//13`

B

4

C

`2//7`

D

2

Text Solution

Verified by Experts

The correct Answer is:
d
Volume of parallelepiped = `[veca vecb vecc]`
`|{:(2,-2,0),(1,1,-1),(3,0,-1):}|=2(-1)+_2(-1+3)=2`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. The scalar vecA.(vecB+vecC)xx(vecA+vecB+vecC) equals (A) 0 (B) [vecA v...

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

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

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  4. Let veda,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 vecc1 are three non-coplanar vectors, then (veca + v...

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  9. Let vecp,vecq, vecr be three mutually perpendicular vectors of the sam...

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  10. Let veca = 2i + j -2k, and b = i+ j if c is a vector such that veca ....

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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,vecc form the sides BC,CA and AB respectively...

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  13. Let the vectors veca, vecb,vecc and vecd be such that (vecaxxvecb)xx(v...

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  14. If veca, vecb and vecc are unit coplanar vectors , then the scalar tri...

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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 5veca-4...

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  17. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  18. The value of a so thast the volume of parallelpiped formed by vectors ...

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  19. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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

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