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If vec(x)+vec(y)+vec(z)=0 and |vec(x)|=|...

If `vec(x)+vec(y)+vec(z)=0` and `|vec(x)|=|vec(y)|=|vec(z)|=2` If the angle between `vec(y)` and `vec(z)` and `theta`. Then `cosec^(2)theta+cot^(2)theta`= …………..

A

`(4)/(3)`

B

`(5)/(3)`

C

`(1)/(3)`

D

1

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

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

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

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

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

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

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

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  8. The position vectors of A, B and C are 2hati-hatj+hatk,hati-3hatj-5hat...

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  9. A particle is acted upon constant forces vec(F)(1)=4hati+hatj-3hatk an...

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  10. Let vec(u),vec(v) and vec(w) be such that |vec(u)|=1,|vec(v)|=2,|vec(w...

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  11. The centroid of DeltaABC is G. The angle between vec(GB) and vec(GC) i...

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  12. The area of the parallelogram whose diagonals are hatj+hatk and hati+h...

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  13. The area of the parallelogram whose adjacent side is hati+hatk and hat...

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  14. If bar(x) and bar(y) are non zero, non collinear vector then the numbe...

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  15. If |bar(x).bar(y)|=cos alpha, then |bar(x)xx bar(y)| = …………….

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  16. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

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  17. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

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  18. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

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  19. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

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  20. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

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