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Parallelogram Law of Vector Addition...

Parallelogram Law of Vector Addition

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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.

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.
  • Parallelogram law of vectors is applicable to the addition of :

    A
    Any two vectors
    B
    Two scalars
    C
    A vector and a scallar
    D
    Two vectors representing same physical quantity.
  • In parallelogram law of vector, the direction of resultant vector is given by

    A
    `tanalpha=(Qcos theta)/(P+Qsin theta`
    B
    `tanalpha=(Qsin theta)/(P+Qcos theta`
    C
    `tanalpha=(P sin theta)/(P+Qcos theta`
    D
    `tanalpha=(P cos theta)/(P+Qcos theta`
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