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For unit vectors bar(a) and bar(b), if b...

For unit vectors `bar(a)` and `bar(b)`, if `bar(a)+2bar(b)` and `5bar(a)-4bar(b)` are perpendicular to each other then the angle between `bar(a)` and `bar(b)` is ………….

A

`45^(@)`

B

`60^(@)`

C

`cos^(-1)((1)/(3))`

D

`cos^(-1)""(2)/(7)`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. vec(a)=2hati+lambda(1)hatj+3hatk,vec(b)=4hati+(3-lambda(2))hatj+6hatk ...

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  20. squareABCD is a parallelogram vec(AB)=bar(q),vec(AD)=bar(p),angleBAC i...

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