Engineering Physics The x and y component of a vector is 3 and 5, respectively. What is the angle between the vector and positive x-axis?

The angle between the vector and positive x-axis is approximately 59.036º.

Explanation:

By Linear Algebra and to be precise, by definition of Dot Product we can determine the angle between two vector from following expression:

(1)

Where:

, - Vectors, no unit.

, - Norms of vectors, no unit.

- Angle, measured in sexagesimal degrees.

Please notice that norms are calculated by Pythagorean Theorem. If we know that and , then the angle between the vector and positive x-axis is:

The angle between the vector and positive x-axis is approximately 59.036º.

b. check your rearview mirror

explanation: