Vector 𝐀 points along the +y axis and has a magnitude of...

Vector $\overrightarrow{\mathbf{A}}$ points along the $+y$ axis and has a magnitude of 100.0 units. Vector $\overrightarrow{\mathbf{B}}$ points at an angle of $60.0^{\circ}$ above the $+x$ axis and has a magnitude of 200.0 units. Vector $\overrightarrow{\mathbf{C}}$ points along the $+x$ axis and has a magnitude of 150.0 units. Which vector has (a) the largest $x$ component and (b) the largest y component?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Vector Decomposition

This concept involves breaking a vector into its orthogonal components (usually along the x and y axes) based on its magnitude and direction. It is fundamental in physics and engineering when analyzing the effect of forces or directions along specific coordinate axes.

Trigonometric Resolution

Trigonometric resolution uses sine and cosine functions to determine the respective components of a vector when its magnitude and the angle it makes with a reference axis are known. The cosine of the angle gives the component along the axis adjacent to the angle, while the sine gives the component along the opposite axis.

Component Comparison

Component comparison entails evaluating the magnitudes of the corresponding components of multiple vectors to determine which vector has the largest or smallest projection along a given axis. This is important when determining the net effect along that axis in multi-vector systems.

Transcript

Please give Ace some feedback