- #1
Exploring the Differences: Positive & Negative Plots
In summary, the conversation discusses the concept of normal vectors to a surface and how there are two possible normals at a given point. The first example is given in which the plane -x-y-z=0 can also be written as (a,b,c) = (1,1,1). The question is then raised as to why the second example has a negative coefficient for y, and it is explained that the direction of the normal vector depends on how the surface is parametrized.
- #2
Dick
Science Advisor
Homework Helper
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If (a,b,c) is normal to a surface, so is (-a,-b,-c). There are two normals to a surface at a given point. For example in the first one you could also have written the plane -x-y-z=0. It's the same plane.
- #3
asi123
- 258
- 0
Dick said:
Yeah, but why did it switch it on the second one, and the first one stayed positive?
If I learned anything, it is that there is no random in math...
- #4
Defennder
Homework Helper
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Um, what do you mean by "switch"? I can't make out the coefficient of y in the equation of plane for the second one. You could use the right-hand screw rule along with r_u X r_v to see which direction the normal vector points. It all depends on how you parametrise it. If you had done u=y, v=x for the second one, it would have been the same as the normal vector read off the equation of the plane.
FAQ: Exploring the Differences: Positive & Negative Plots
What is the difference between a positive plot and a negative plot?
A positive plot is one in which the main character or characters experience growth and success throughout the story. A negative plot is one in which the main character or characters face challenges and ultimately experience failure or a tragic ending.
How do positive and negative plots affect the overall tone of a story?
A positive plot typically creates a more uplifting and hopeful tone, while a negative plot can create a more somber and pessimistic tone. However, tone can also be influenced by other elements of the story such as setting and character development.
Are positive plots more popular than negative plots in literature and media?
This can vary depending on the genre and target audience. Generally, positive plots tend to be more popular in children's literature and media, while negative plots may be more common in the horror or drama genres.
Can a story have elements of both positive and negative plots?
Yes, a story can have elements of both positive and negative plots. This can create a more complex and realistic portrayal of human experiences, as life often consists of both successes and failures.
Do positive plots always have happy endings and negative plots always have sad endings?
No, this is not always the case. While positive plots may typically have happy endings, there can be instances where they do not. Similarly, negative plots may not always have sad endings, as characters can experience growth and learn valuable lessons even in the face of failure.