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Can two equal vects vec a and vec b at d...

Can two equal vects `vec a and vec b` at different locations in space necessarilly have identical physical effects ?

Text Solution

Verified by Experts

(i) In general, a vector has no particular location in space . Because a vectors remains unaffected when displaced anywhere in space in a way that its magnitude and direction remain same . However the position vector has a particular location in space .
(ii) Yes , a vector can very with time , e.g. velocity vector, acceleration vector of a moving particle can very with time
(iii) Two equal vectors `veca and vec b` at different locations in space may not have identical physical effects , e.g . two equal forces which can cause rotation of the body acting at two different points may not produce equal turning effects .
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Knowledge Check

  • The sum of two vectors vec A and vec B is at right angles to their difference. This is possible if

    A
    A=2B
    B
    A=B
    C
    A=3B
    D
    B=2A

  • The resultant of two vectors vec A and vec B is perpendicular to the vector vec A and its magnitude is equal to half the magnitude of vector vec B . What is the angle between vec A and vec B ?

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `150^(@)`
    D
    `120^(@)`