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If ` vec u , vec va n d vec w` are three non-cop0lanar vectors, then prove that `( vec u+ vec v- vec w)dot( vec u- vec v)xx( vec v- vec w)= vec udot vec vdotxx vec w`

A

`3vec(u).vec(v) xx vec(w)`

B

0

C

`vec(u).vec(v) xx vec(w)`

D

`vec(u).vec(w) xx vec(v)`

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The correct Answer is:
C
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL -I)
  1. The vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + ve...

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  2. Consider points A, B, C and D with position vectors 7hat(i) - 4hat(j)...

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  3. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

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  4. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

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  5. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  6. For any vector vec(a) |vec(a)xx hat(i)|^(2)+ |vec(a)xx hat(j)|^(2)+ |h...

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  7. If C is the mid-point of AB and P is any point outside AB, then

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  8. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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  9. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

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  10. ABC is triangle, right angled at A. The resultant of the forces acting...

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  11. The values of a for which the points A, B, and C with position vectors...

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  12. If vec(u) and vec(v) are unit vectors and theta is the actue angle...

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  13. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat...

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  14. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

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  15. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

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  16. If vec u ,"" vec v , vec w are noncoplanar vectors and p, q are re...

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  17. Let veca=hatj-hatk and vecc=hati-hatj-hatk. Then the vector vecb satis...

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  18. If the vectors veca=hati-hatj+2hatk, vecb=2hati+4hatj+hatk and vecc=la...

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  19. The vectors veca and vecb are not perpendicular and vecac and vecd are...

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  20. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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