Vector Components and Trigonometry

What is the primary benefit of breaking down vectors into their X and Y components?

• It allows for the use of the Law of Cosines.

• It simplifies complex physics problems.

• It changes the magnitude of the original vector.

• It is only applicable to vectors with 90-degree angles.

What is the X-component of a 10m vector at an angle of 43 degrees?

• 6.8 m

• 7.3 m

• 10 m

• 4.3 m

What is the Y-component of a 10m vector at an angle of 43 degrees?

• 7.3 m

• 6.8 m

• 10 m

• 4.3 m

When breaking down a 13 m/s vector at 112 degrees into its X and Y components using a right triangle, what angle is used for the trigonometric calculations?

• 112 degrees

• 90 degrees

• 68 degrees

• 13 degrees