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If bar(x)=(3,1,0),bar(y)=(2,2,3),bar(z)=...

If `bar(x)=(3,1,0),bar(y)=(2,2,3),bar(z)=(-1,2,1)`.
If `bar(x)_|_(bar(y)+k bar(z))` then k = ……………

A

8

B

4

C

`(1)/(8)`

D

`(1)/(4)`

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The correct Answer is:
A
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. In DeltaABC,vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk. Length ...

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  2. If bar(x)=(a,4,2a) and bar(y)=(2a,-1,a) are perpendicualr to each othe...

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  3. If bar(x)=(3,1,0),bar(y)=(2,2,3),bar(z)=(-1,2,1). If bar(x)|(bar(y)+...

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  4. If bar(x)=(1,2,4),bar(y)=(-1,-2,k),k ne -4 then |bar(x).bar(y)|………|bar...

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  5. If bar(a)=(-3,1,0) and bar(b)=(1,-1,-1) then "Comp"(bar(a))bar(b) …………...

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  6. The projection of (1, 2, -1) on hati is …………….

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  7. A(3,-1),B(2,3) and C(5,1) are given then m angleA = ………

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  8. bar(x) and bar(y) are unit vectors and (bar(x)""(,)^(hat)bar(y))=theta...

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  9. If |bar(x)+bar(y)|=|bar(x)-bar(y)|, then

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  10. bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar...

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  11. bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""(,)^(hat)bar(y)...

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  12. If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z...

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  13. If bar(a)=(3,1,-2) and bar(b)=(1,3,-2) then (bar(a)" "^(hat)bar(b)) = ...

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  14. If bar(x)=(1,1,-1),bar(y)=(-1,2,2) and bar(z)=(-1,2,-1) then the unit ...

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  15. If (3hati+4hatj+9hatk) and (a hati-3hatj+1hatk) are perpendicualr to e...

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  16. If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then...

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  17. If |bar(x)|=|bar(y)|=2 and (bar(x)" "^(hat)bar(y))=theta then |bar(x)-...

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  18. The projection of the vector (-4,-2,4) on (2,1,1) is ………….

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  19. The magnitude of the projection of vector (4, 1, 3) and (1, -2, 3) is ...

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  20. The unit vector perpendicular to (3,-4) in R^(2) is ………………

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