A vector A has components x-component of 12 m and y-component 5 m. What is the angle that vector A makes with the x axis?Group of answer choices2.6 degrees12.6 degrees22.6 degrees32.6 degrees42.6 degrees
Question
A vector A has components x-component of 12 m and y-component 5 m. What is the angle that vector A makes with the x axis?Group of answer choices2.6 degrees12.6 degrees22.6 degrees32.6 degrees42.6 degrees
Solution
The angle θ that a vector makes with the x-axis can be found using the formula:
θ = tan^-1 (Ay / Ax)
where Ay is the y-component of the vector and Ax is the x-component of the vector.
In this case, Ay = 5 m and Ax = 12 m.
So, θ = tan^-1 (5 / 12)
Using a calculator to find the inverse tangent of (5 / 12), we get:
θ ≈ 22.6 degrees
So, the angle that vector A makes with the x-axis is approximately 22.6 degrees.
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