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Parallelogram law of addition of vectors...

Parallelogram law of addition of vectors

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Knowledge Check

  • STATEMENT-1: In the figure shown, the y-component of velocity of m is (u_(1) cos theta_(1)+u_(2)cos theta_(2)) when the string is being pulled with speed u_(1) and u_(2) as shown in the figure. STATEMENT-2: According to parallelogram law of vector addition the sum of two independent vectors is given by the diagonal of the parallelogram if the two vectors are represented by the adjacent sides of the parallelogram.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.

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    Assertion: A vector qunatity is a quantity that has both magnitude and a direction and obeys the triangle law of addition or equivalentyly the parallelogram law of addition. Reason: The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.

    Assertion : A vector quantity is a quantity that has both magnitude and a direction and obeys the triangle law of addition and equivalently the parallelogram law of addition. Reason : The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.

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    State parallelogram law of vectors addition .Find analytcallly the magnitude and direction of resultant vector, When (i) two vectors are parallel to each other (ii) two vectors are perpendicular to each other.

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