MHB Can Vectors Be The Key to Motivating Students in a Linear Algebra Course?

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Introducing vectors in a linear algebra course can be impactful by framing them as arrows representing physical quantities like force, velocity, and acceleration. Using real-world applications from physics can help students see the relevance and importance of vectors. Engaging examples, such as demonstrating how vectors are used in navigation or engineering, can enhance motivation. Emphasizing the connection between vectors and everyday phenomena can spark interest and curiosity. A strong opening that highlights these applications can set a positive tone for the course.
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What is a good way to introduce vectors on a linear algebra course so that students are motivated from the start? I need an opening which will have a real impact. Are there any motivating examples?
 
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Physics. Think of vectors as arrows, and then think of various physical quantities that are vector (force, velocity, acceleration, angular momentum, electromagnetic fields, etc.)
 

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