## 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

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## Answers ( )

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