Write the Vector V in the Form Ai + Bj $$\| \mathbf { v } \| = 15 , \alpha = 210 ^ { \circ }$$

question 170

Multiple Choice

Write the vector v in the form ai + bj, given its magnitude v and the angle  it makes with the positive x-axis.
- $$\| \mathbf { v } \| = 15 , \alpha = 210 ^ { \circ }$$

• A) \(\mathbf { v } = 15 \left( \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 15 } { 2 } \mathbf { j } \right)\)
• B) \(v = 15 \left( - \frac { \sqrt { 2 } } { 2 } i - \frac { \sqrt { 2 } } { 2 } j \right)\)
• C) \(\mathbf { v } = 15 \left( - \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 1 } { 2 } \mathbf { j } \right)\)
• D) \(\mathbf { v } = 15 \left( - \frac { 15 } { 2 } \mathbf { i } - \frac { 15 \sqrt { 3 } } { 2 } \mathbf { j } \right)\)

---

Definitions:

Pitch

The perceived frequency of a sound, determining whether it is high, low, or somewhere in between.

Place Theory

A theory in psychology and auditory science suggesting that the perception of sound frequency depends on the location of maximum vibration on the basilar membrane of the inner ear.

Basilar Membrane

A structure in the cochlea of the inner ear that vibrates in response to sound and plays a key role in the mechanical to neural transduction of auditory stimuli.

Oval Window

A membrane-covered opening that leads from the middle ear to the inner ear, transmitting sound vibrations to the cochlea.