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A unit tangent vector at t=2 on the curv...

A unit tangent vector at t=2 on the curve `x=t^(2)+2, y=4t-5` and `z=2t^(2)-6t` is

A

`1/sqrt(3) (hati + hatj + hatk)`

B

`1/3(2hati + 2hatj + hatk)`

C

`1/sqrt(6)(2hati + 2hatj + 2hatk)`

D

None of these

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The correct Answer is:
B
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VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. A unit tangent vector at t=2 on the curve x=t^(2)+2, y=4t-5 and z=2t^(...

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  2. The two vectors veca =2hati+hatj+3hatk and vecb =4hati-lamdahatj+6hatk...

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  3. A parallelogram is construted on 3veca + vecb and veca- 4vecb, where |...

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  4. The value of c so that for all real x, the vectors cxhatk + 3hatj, xha...

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  5. Which of the following expressions are meaningful? a. vec u.(vec vx...

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  6. The work done by the forces vecF = 2hati - hatj -hatk in moving an obj...

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  7. If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb ...

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  8. The moment of the couple formed by forces 5hati+hatk and -5hati-hatk a...

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  9. the unit vector orthogonal to vector -hati+2hatj+2hatk and making equa...

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  10. ABCD is a parallelogram with vec(AC) = hati - 2hatj + hatk and vec(BD)...

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  11. If veca and vecb are unit vectors and theta is the angle between them ...

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  12. Let vecp = 3ax^(2) hati - 2(x-1)hatj, q=b(x-1)hati + xhatj and ab lt 0...

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  13. Let vecu, vecv and vecw be such that |vecu|=1,|vecv|=2 and |vecw|=3 if...

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  14. Let vecu= hati + hatj , vecv = hati -hatja and hati -hatj and vecw =ha...

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  15. Let veca = hati + hatj + hatk and let vecr be a variable vector such t...

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  16. veca and vecc are unit collinear vectors and |vecb|=6, then vecb-3vecc...

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  17. If vece(1) = ( 1,1,1) and vece(2) = ( 1,1,-1) and veca and vecb are tw...

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  18. The length of the longer diagonal of the parallelogram constructed on ...

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  19. A , B , Ca n dD are any four points in the space, then prove that |...

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  20. Let vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r...

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