Vector True or False questions

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In summary, the first question is asking whether the components of a vector remain the same regardless of the coordinate system used, to which the answer is true. The second question is asking whether the magnitude of a displacement vector can be greater than the distance between two points, to which the answer is false.
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mullets1200
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1. The components of a vector will be the same no matter what coordinate system is used to express that vector. True or False

2. The magnitude of the displacement vector from A to B can never be less than the distance from A to B, but it can be greater than that distance. True or false

My thoughts:
For question 1 i believe the answer is true just because I don't think the coordinate system changes the vectors. I just want to be sure though by asking other people.

Then for question 2 my gut feeling is false but I really am not to sure about it.
 
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I feel like it is false because I think the displacement vector is the difference between two vectors and it would be impossible to have a greater magnitude than the actual distance. Again though I just want to make sure.Answer:1. True2. False
 

What are "Vector True or False" questions?

"Vector True or False" questions are a type of scientific question that ask for a true or false answer based on a specific vector or direction. Vectors are quantities that have both magnitude (size) and direction, making them useful for representing physical quantities such as velocity, force, and displacement.

How are "Vector True or False" questions different from other types of scientific questions?

Unlike other types of scientific questions that may ask for a numerical or descriptive answer, "Vector True or False" questions specifically require a true or false response based on a given vector. This allows for a more specific and focused way of testing understanding and application of vector concepts.

What are some common applications of vectors in science?

Vectors are used in a variety of scientific fields, including physics, engineering, and mathematics. Some common applications of vectors include representing forces and motion in physics, navigation and mapping in geology and geography, and modeling in computer graphics and animation.

How can one effectively approach solving "Vector True or False" questions?

To effectively solve "Vector True or False" questions, it is important to have a strong understanding of vector concepts and properties, such as vector addition, subtraction, and multiplication. It may also be helpful to visualize the vector in question and its direction in order to determine the correct response.

Are "Vector True or False" questions commonly used in scientific assessments and exams?

Yes, "Vector True or False" questions are commonly used in scientific assessments and exams as a way to test an individual's understanding and application of vector concepts. They may appear in various forms, such as multiple choice, true or false, or short answer questions.

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