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Can two vectors of unequal magnitude and...

Can two vectors of unequal magnitude and up to give the zero vector ? Can three unequal vectors add up to give the zero vector ?

Text Solution

Verified by Experts

No, two vectors of unequal magnitude cannot be equal to zero.
According to tringle law, three unequal vectors in equillibrium can be zero.
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Can two vectors of unequal magnitude add up to give the zero vector ? Can three unequal vectors add up to give the zero vector ?

If magnitude of the resultant of two vectors equal of magnitude, is equal to the magnitude of either of the vectors, what is the angle between them ?

Knowledge Check

  • If the dot product of two vectors is equal to the magnitude of the cross product of the same vectors, then the angle between the vectors is

    A
    `(pi)/(2)` rad
    B
    `(pi)/(4)` rad
    C
    `(pi)/(3)` rad
    D
    `pi` rad

  • If the dot product of two vectors is equal to the magnitude of the cross product of the same vectors, then the angle between the vectors is

    A
    `(pi)/(2)` rad
    B
    `(pi)/(4)` rad
    C
    `(pi)/(3)` rad
    D
    `pi` rad

  • If the angle between two vectors of equal magnitude P is theta , the magnitude of the resultant vector is

    A
    `2P "cos" (theta)/(2)`
    B
    `2P "sin " (theta)/(2)`
    C
    `2P cos theta`
    D
    `2P sin theta`

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    Explore conceptually related problems

    If magnitude of the resultant of two vectors equal of magnitude, is equal to the magnitude of either of the vectors, what is the angle between them ?

    Can a vector of magnitude zero have nonzero components ?

    Two vectors one of small magnitude and the other of large magnitude are inclined to each other a certain angle . Their resultant is found to be perpendicular to the vector of smaller magnitude and is found to be half of the magnitude of the larger vector . find the angle between the two vector

    Two vectors one of small magnitude and the other of large magnitude are inclined to each other a certain angle, Their resultant is found to be perpendicular to the vector of smaller magnitude and is found to be half of the magnitude of the larger vector. Find the angle between the two vector

    Can a vector of magnitude zero have non-zero components ?

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