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A unit vector is coplanner with bar(i)+b...

A unit vector is coplanner with `bar(i)+bar(j)+2bar(k)` and `bar(i)+2bar(j)+bar(k)` and it is perpendicular to the vector `bar(i)+bar(j)+bar(k)`. Then the vector …………..

A

`(bar(i)-bar(j))/(sqrt(2))`

B

`+-((bar(j)-bar(k))/(sqrt(2)))`

C

`(bar(k)-bar(i))/(sqrt(2))`

D

`(bar(i)+bar(j)+bar(k))/(sqrt(3))`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. squareABCDEF is a regular hexagone with each side a. bar(AB).bar(AF)+(...

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  2. For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )|...

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  3. A unit vector is coplanner with bar(i)+bar(j)+2bar(k) and bar(i)+2bar(...

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  4. The angle between the unit vectors bar(a) and bar(b) is theta. If bar(...

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  5. For unit vectors bar(a) and bar(b), if bar(a)+2bar(b) and 5bar(a)-4bar...

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  6. bar(a)=2bar(i)-3bar(j)+6bar(k) and bar(b)=-2bar(i)+2bar(j)-bar(k) then...

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  7. bar(b)=3hatj+4hatk,bar(a)=hati+hatj. If bar(b(1)) and bar(b(2)) are co...

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  8. The unit vector bar(a) and bar(b) are perpendicualr to each other. The...

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  9. Vector bar(a)=6hati-3hatj,bar(b)=2hati-6hatj and bar( c )=-2hati+21hat...

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  10. bar(a),bar(b) and bar( c ) are unit vectors. The value of |bar(a)-bar(...

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  11. If bar(a),bar(b) and bar( c ) are perpendicualr to bar(b)+bar( c ),bar...

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  12. bar(a) and bar(b) are unit vectors. |bar(a)+bar(b)|=sqrt(3) then the v...

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  13. DeltaABC is an equilateral triangle. Its side is l. Any point P lies o...

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  14. vec(a)=2hati+hatj+hatk and vec(b)=hati-hatj-hatk are the adjacent side...

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  15. The position vectors of four points A, B, C and D in the plane are vec...

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  16. If vec(alpha)=(1)/(a)hati+(4)/(b)hatj+b hatk and vec(beta)=b hati+a ha...

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  17. The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a...

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  18. If vec(x)+vec(y)+vec(z)=0 and |vec(x)|=|vec(y)|=|vec(z)|=2 If the angl...

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  19. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

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  20. vec(a)=hati+hatj+sqrt(2)hatk,vec(b)=b(1)hati+b(2)hatj+sqrt(2)hatk and ...

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