Can anyone solve this problem please! ?

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3 Answers

Relevance
  • 1 month ago

    The question is intended to see if you can reject surplus irrelevant information.  The angles are entirely unnecessary.  The definition of a resultant vector is the vector sum of the vectors which make it up.  ie a).

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  • Bryce
    Lv 7
    1 month ago

    a.                                                       

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  • x = P[x] + Q[x]

    y = P[y] + Q[y]

    P[x] = P * cos(120) = P * (-1/2) = -P/2

    Q[x] = Q * cos(90 + 30) = Q * cos(120) = -Q/2

    P[y] = P * sin(120) = P * (sqrt(3)/2) = P * sqrt(3)/2

    Q[y] = Q * sin(90 + 30) = Q * sin(120) = Q * sqrt(3)/2

    sqrt(x^2 + y^2) =>

    sqrt((-P/2 - Q/2)^2 + (Psqrt(3)/2 + Qsqrt(3)/2)^2) =>

    sqrt((-1/2)^2 * (P + Q)^2 + (sqrt(3)/2)^2 * (P + Q)^2) =>

    sqrt((1/4 + 3/4) * (P + Q)^2) =>

    sqrt(1 * (P + Q)^2) =>

    (P + Q)

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