Avector has an x-component equal to 0.15 and a y-component is equal to 1.22 calculate the vectors direction relative to the positive x-axis

The vector direction is 83.0° relative to the positive x-axis

Step-by-step explanation:

* Lets explain how to find the direction of a vector

- A vector is a quantity which has both magnitude and direction

- The vector has two components x-component and y-component

- The x-component = v cos Ф , and the y-component = v sin Ф,

  where Ф is the angle between the vector and the positive part

  of the x-axis

- The magnitude of the vector =

- The direction of the vector =

* Lets solve the problem

∵ x-component of the vector = 0.15

∵ y-component of the vector = 1.22

- Both x-component and y-component are positive

∴ Ф will be between 0° and 90°

∵ The direction of the vector =

∴ The direction of the vector =

∴ The direction of the vector = 83.0°

* The vector direction is 83.0° relative to the positive x-axis

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