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Can the resultant of two vectors be zero...

Can the resultant of two vectors be zero ?

A

No

B

Yes, when the two vectors are equal in magnitude and direction

C

Yes, when the two vectors are equal in magnitude but opposite in direction

D

Yes, when the two vectors are equal in magnitude and making an anlge of `(2 pi)/(3)` with each other

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The correct Answer is:
C

The resultant of two vectors can be zero if they have the same magnitude but they act in opposite directions. If `vec P + vec Q =0," then "vec P = -vec Q`
For this |P|=|Q| and they are oppositely directed.
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MARVEL PUBLICATION-VECTORS-MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL)
  1. What is the anlge between a vector vec A = 4 hati+3hatj+5hatk and the ...

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

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  3. Can the resultant of two vectors be zero ?

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

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

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

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

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  8. Which one of the following is a correct statement ? If vec P and vec Q...

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  9. A force vec F(1) of magnitude 9 N makes an angle of 30^(@) with the X-...

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  10. The maximum value of the magnitude of the resultant of two vectors vec...

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  11. The magnitude of the resultant vec R of two forces vec P and vec Q" is...

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  12. Three forces vec F(1) =5hati+6hatj+7hatk, vec F(2) =-3hati-2hatj-2hatk...

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  13. If vec A=vec B + vec C, and the magnitude of vec A, vec B and vec C ar...

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  14. The sum of the magnitudes of two vectors P and Q is 18 and the magnitu...

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  15. What is the angle between two forces of equal magnitude P, if the magn...

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  16. Which one of the following cannot be the resultant of the vectors of m...

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  17. The magnitude of vector vec(A),vec(B) and vec(C ) are respectively 12,...

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  18. What is the magnitude of a vector obtained by addition of two vectors,...

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  19. Two vectors vec A(1) and vec A(2) each of magnitude A are inclinded to...

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  20. Resultant of two vectors vecA and vecB is of magnitude P, If vecB is r...

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