Final answer:
The vector with a magnitude of 70 and an amplitude of 104° can be written in component form using trigonometry, with the x-component calculated as 70 × cos(104°) and the y-component as 70 × sin(104°). The exact component values should be calculated depending on the use of degrees or radians.
Step-by-step explanation:
To write the vector with a magnitude of 70 and an amplitude of 104° in component form, we use trigonometry. The x-component (horizontal) can be found using the cosine of the angle, and the y-component (vertical) using the sine:
- Ax = 70 × cos(104°)
- Ay = 70 × sin(104°)
Note that since the angle is more than 90° but less than 180°, the x-component will be negative because it is in the second quadrant, where cosines are negative.
The vector in component form is then <Ax, Ay>, where:
- Ax = 70 × cos(104°) (calculate the exact value depending on whether you want to use degrees or radians for the angle measure)
- Ay = 70 × sin(104°) (again, calculate the exact value accordingly)