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The values of k, for which |k.bar(a)|lt ...

The values of k, for which `|k.bar(a)|lt |bar(a)|` and `k.bar(a)+(1)/(2)bar(a)` is parallel to `bar(a)` holds true are …………..
where `k in [-1,1]-{-(1)/(2)}` i.e. `k in [-1,1]k ne -(1)/(2)`

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The correct Answer is:
`k in [-1,1],k ne -(1)/(2)`
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. The angle between two vectors a and b with magnitudes sqrt(3) and 4, r...

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  2. Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda b...

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  3. The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2...

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  4. The vectors from origin to the points A and B are bar(a)=2bar(i)-3bar(...

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  5. bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are t...

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  6. For any vector bar(a), the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+...

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  7. If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(...

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  8. The vectors lambda bar(i)+bar(j)+2bar(k),bar(i)+lambda bar(j)-bar(k) a...

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  9. If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)...

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  10. The projection vector of bar(a) on bar(b) is ………….

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  11. If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b...

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  12. If |bar(a)|=4 and -3le lambda le 2, then the range of |lambda. bar(a)|...

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  13. The number of vectors of unit length perpendicular to the vectors bar(...

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  14. The vector (bar(a)+bar(b)) bisects the angle between the non-collinear...

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  15. If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for som...

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  16. The vectors bar(a)=3bar(i)-2bar(j)+2bar(k) and bar(b)=-bar(i)-2bar(k) ...

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  17. The values of k, for which |k.bar(a)|lt |bar(a)| and k.bar(a)+(1)/(2)b...

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  18. The value of the expression |bar(a)xx bar(b)|^(2)+(bar(a).bar(b))^(2) ...

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  19. If |bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|^(2)=144 and |bar(a)|=4, then ...

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  20. If bar(a) is any non-zero vector, then (bar(a).bar(i)).bar(i)+(bar(a...

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