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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 -JEE Previous Year (Single Question)
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  2. For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc = |ve...

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

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  4. If veca , vecb , vecc are three non-coplanar vector and vecp...

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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, vecc are three non - coplanar vector such that vecaxx(v...

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  7. Let vecu, vecv and vecw be vector such that vecu+vecv+vecw=vec0. 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=2vecj+vecj-2veck,vecb=veci+vecj. If vecc is a vector such tha...

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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. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

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  14. If vec a , vec ba n d vec c are unit coplanar vectors, then the sca...

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  15. If hat a , hat b ,a n d hat c are unit vectors, then | hat a- hat b|^...

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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 vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  18. Find the value of a so that the volume of the parallelepiped formed...

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

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

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