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If the vectors ahat(i)+hat(j)+hat(k), ha...

If the vectors `ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k)`, where a, b, c are coplanar, then `a+b+c-abc=`

A

`-2`

B

`2`

C

`0`

D

`-1`

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A
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. The vectors a and b are not perpendicular and c and d are two vectors ...

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  3. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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  4. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  5. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and veccc=la...

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  6. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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

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  8. If vecu and vecv are unit vectors and theta is the acute angle bet...

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  9. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

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

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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. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

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  13. If veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

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

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  15. If vec(a)=ht(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yha...

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

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  17. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

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  18. A particle acted by constant forces 4 hat i+ hat j-3 hat ka n d3 ha...

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  19. If bar u,bar v,bar w are three non coplanar vectors then (bar u+bar ...

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  20. a, b, c are three vectors, such that a+b+c=0 |a|=1, |b|=2, |c|=3, then...

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