Overcoming Vector Challenges: Best Resources & Tips for Practicing

AI Thread Summary
Struggling with vectors in physics is common, and there are effective ways to improve understanding and practice. Trusted resources include the Physics Classroom, which offers problems with solutions for self-checking, and MIT's OpenCourseWare for a comprehensive look at vector algebra that doesn't require calculus knowledge. Engaging with problems is essential for mastery, and it's encouraged to attempt solutions independently before seeking help online. The discussion emphasizes the importance of foundational knowledge in vector concepts, from basic addition and direction to more advanced topics like dot and cross products. Overall, consistent practice and utilizing quality educational resources are key to overcoming challenges with vectors.
TrivialPants
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Hello,

I am struggling with vectors, and general problems tagged along with them. How can I get some more practice aside from my book? What are some trusted resources that work well? What is your personal experience with vectors? Are (were) they a challenging obstacle for you? What is the best way to understand them and make sense of using them in physics without resorting to looking up answers online?
 
Physics news on Phys.org
http://www.physicsclassroom.com/class/vectors

Try this, has solutions so you can check as you go. Doing problems is the best way to understand anything in physics.

If you can't figure something out, ask the question here. Don't immediately run to the Google search for the answer, you need to take quite a bit of time and try to figure things out on your own.

Here people will help you arrive at the answer, so if stumped just post here in the homework help.
 
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I think it depends on what you mean when you say vectors. To me, you could mean anything from fairly basic concepts, like addition, direction and resolution as discussed in introductory physics, to some more advanced vector algebra, like products and projections, to vector calculus. If you mean the first category, then Student100's link is excellent, although even the most basic algebra-based physics courses use the concepts of dot/cross products without explicitly stating it. I learned vector algebra from http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/1.-vectors-and-matrices/ which is very comprehensive and doesn't even require a knowledge of calculus for the most part. I personally found them somewhat difficult at first, but I only got better through practice. I think the best way to understand them is to work through problems, but only after gaining a fairly comprehensive understanding of them through learning resources first.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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