Sure. Each point on the graph of this function corresponds to a particular value of t, so when t = 0, for example, you get the point (0, 0).stau40 said:Homework Statement
Sketch the curve given by the vector valued function r(t)=t^2i + t^3j, -infinity<t<infinity
Homework Equations
The Attempt at a Solution
I'm confused with how to graph it when it's not two separate values separated with a comma. Am I allowed to plug in a t value for t^2 to get the x coordinate then plug in the same t value for t^3 to get the y coordinate?
Vector sketching is the process of creating digital drawings using mathematical equations and lines instead of pixels. This allows for images to be scaled infinitely without losing quality.
Traditional sketching uses physical tools like pencils and paper, while vector sketching is done digitally using software like Adobe Illustrator or Inkscape. Vector sketching also allows for more precise and clean lines compared to traditional sketching.
One of the main advantages of vector sketching is the ability to scale images without losing quality. This makes it ideal for creating logos and illustrations for print or digital use. Vector sketching also allows for easy editing and manipulation of objects and colors.
Yes, vector sketching requires knowledge of software like Adobe Illustrator or Inkscape, which can be learned through tutorials and practice. It also helps to have a good understanding of design principles and drawing techniques.
Yes, it is possible to convert a traditional sketch into a vector sketch using image tracing tools in software like Adobe Illustrator. However, the quality of the conversion may vary and it may require some manual editing to achieve the desired result.