Question

Find the y-component of this
vector:

Answer 1

The y-component of the vector is approximately -67.844 meters.

Explanation:

A vector
`\vec v` in rectangular form are defined by the following form:

`\vec v = (r\cdot \cos \theta, r\cdot \sin \theta)` (1)

Where:

`r` - Magnitude, measured in meters.

`\theta` - Direction with respect to +x semiaxis, measured in sexagesimal degrees.

Please notice that the y-component of the vector corresponds to the second component of the definition. If we know that
`r = 101\,m` and
`\theta = 222.2^(\circ)`, then the y-component of the vector is:

`y = r\cdot \sin \theta` (2)

`y = (101\,m)\cdot \sin 222.2^(\circ)`

`y \approx -67.844\,m`

The y-component of the vector is approximately -67.844 meters.