The y component of a vector is 36, and the angle between the vector and the x axis is 27 what is the magnitude of the vector

Question

The y component of a vector is 36, and the angle between the vector and the x axis is 27 what is the magnitude of the vector

in progress 0
MichaelMet 4 hours 2021-07-22T04:33:31+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-22T04:34:39+00:00

    Answer:

    Magnitude of Vector = 79.3

    Explanation:

    When a vector is resolved into its rectangular components, it forms two vector components. These components  are named as x-component and y-component, they are calculated by the following formulae:

    x-component of vector = (Magnitude of Vector)(Cos θ)

    y-component of vector = (Magnitude of Vector)(Sin θ)

    where,

    θ = angle of the vector with x-axis = 27°

    Therefore, using the values in the equation of y-component, we get:

    36 = (Magnitude of Vector)(Sin 27°)

    Magnitude of Vector = 36/Sin 27°

    Magnitude of Vector = 79.3

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )