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A vector is represented by vec P = 3 hat...

A vector is represented by `vec P = `3 hat I` + `hat j `+`2 hat k`. What is its length in the XY plane ?

A

2

B

`sqrt(5)`

C

`sqrt(10)`

D

`sqrt(15)`

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The correct Answer is:
C
`vec P =3hati +hatj +2hatk`
For xy plane, we have to consider only `3hati+hatj`
`therefore` Length in XY plane `=sqrt(3^(2)+1^(2))=sqrt(10)`
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MARVEL PUBLICATION-VECTORS-MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL)
  1. Which one of the following is not a characteristics of displacement ?

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  2. What is the magnitude of the sum of the vectors vec P = 3 hat I and ve...

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  3. A vector is represented by vec P = 3 hat I + hat j +2 hat k. What is i...

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  4. If two vectors vec A(1) = hati-3hati+5hatk and vecA(2)=hati-3hatj+a ha...

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  5. The (x,y,z) co -ordinates of two points A and B are give respectively ...

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  6. Which one of the following vector equations is wrong ?

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  7. The magnitude of vectors vec A, vec B and vec C are 3, 4 and 5 units r...

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  8. 3 forces acting on a particle are given by (1) (2hati+3hatj-2hatk)N ...

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  9. A particle has a displacement of 12 m towards east and 6 m towards nor...

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  10. What is the angle between A and the resultant of (vec A + vec B) and (...

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  11. The component of vector A=a(x)hati+a(y)hatj+a(z)hatk and the directioi...

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  12. Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...

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  13. A plumb line is suspended from a celling of a car moving with horizont...

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  14. What is the anlge between a vector vec A = 4 hati+3hatj+5hatk and the ...

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  15. If the resultant of n forces of different magnitudes acting at a point...

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  16. Can the resultant of two vectors be zero ?

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  17. The angle subtended by vector vecA = 4 hati + 3hatj + 12hatk with t...

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  18. Two vectors of equal magnitudes having a sum of resultant equal to eit...

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  19. Two forces each of magnitude 2N, act at an angle of 60^(@). What is th...

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  20. Two equal forces (P each) act at a point inclined to each other at an ...

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