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The vector in the direction of the vecto...

The vector in the direction of the vector `vec(a)=bar(i)-2bar(j)+2bar(k)` that has magnitude 9 is ……..

A

`bar(i)-2bar(j)+2bar(k)`

B

`(bar(i)-2bar(j)+2bar(k))/(3)`

C

`3(bar(i)-2bar(j)+2bar(k))`

D

`9(bar(i)-2bar(j)+2bar(k))`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. The vector in the direction of the vector vec(a)=bar(i)-2bar(j)+2bar(k...

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  2. The position vector of the point which divides the join of points 2bar...

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  3. The vector having initial and terminal points as (2, 5, 0) and (-3, 7,...

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  4. The angle between two vectors a and b with magnitudes sqrt(3) and 4, r...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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