Question

In a 2 dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

Answer 1

The magnitude of a vector is calculated using the Pythagorean theorem, given the x-component and the angle between the vector and x-axis.

Step-by-step explanation:

To calculate the magnitude of a vector in a 2-dimensional Cartesian system when the x-component and the angle between the vector and the x-axis are known, we use the Pythagorean theorem. Assuming the vector is represented as A and the x-component is Ax, if the angle is θ, then the y-component Ay can be found using the sine function: Ay = A sin(θ). Once Ax and Ay are known, the magnitude A of the vector can be found by the equation A = √(Ax2 + Ay2).

Answer 2

Answer:
The correct answer is dividing by cosine
Step-by-step explanation:
The cosine function is
cos θ = ca / ​​H
done ca is the adjacent leg (x-axis) and H is the hypotenuse (vector module)
we clear
H = ca / ​​cos θ
therefore, to find the magnitude of the vector, the cathete is divided into the cosine.
The correct answer is dividing by cosine