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Vectors i + j + (m + 1) k, i + j + mk an...

Vectors `i + j + (m + 1) k, i + j + mk` and `i - j + mk` are coplaner for

A

1

B

4

C

3

D

none of these

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)
  1. If a, b, c and d are unit vectors, then abs(a-b)^(2)+abs(b-c)^(2)+abs(...

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  2. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

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  3. The vectors a=2hati+hatj-2hatk, b=hati+hatj. If c is a vector such tha...

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  4. A tangent is drawn to the curve y=8/x^2 in XY-plane at the point A(x...

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  5. The vectors 3i - 2j + k, i - 3 j + 5k and 2i + j - 4k form the sides o...

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  6. For unit vectors b and c and any non zero vector a, the value of {{(a+...

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  7. Three non-coplanar vector a, b and c are drawn from a common initial p...

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  8. A unit tengent vector at t = 2 on the curve x=t^(2)+2, y=4t^(3)-5,z=2t...

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  9. A particle moves along a curve so that its coordinates at time t are x...

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  10. Consider the parallelopiped wide sides a = 3i + 2j + k, b = I + j + 2k...

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  11. A unit vector n perpendicular to the plane determined by the points A ...

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  12. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

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  13. If a+b+c=0" and "abs(a)=3, abs(b)=5" and "abs(c)=7 then the angle betw...

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  14. The vector ((i-j) times (j-k)) times (i+5k) is equal to

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  15. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

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  16. If vec a and vec b are two unit vectors and theta be the angle betwe...

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  17. Vectors i + j + (m + 1) k, i + j + mk and i - j + mk are coplaner for

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  18. If vec a , vec ba n d vec c are non-coplanar unit vectors such tha...

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  19. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

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  20. Let the volume of parallelopiped whose coteriminous edges are given by...

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