Example calcuating magnitude of vector from graph | Summary and Q&A

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January 7, 2016
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Khan Academy
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Example calcuating magnitude of vector from graph

TL;DR

The video explains how to calculate the magnitude of a vector using the distance formula and the Pythagorean theorem.

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Questions & Answers

Q: How is the magnitude of a vector defined?

The magnitude of a vector is the length of the line connecting its initial and terminal points.

Q: What is the distance formula used to calculate the magnitude of a vector?

The distance formula is derived from the Pythagorean theorem and is given by the square root of the sum of the squares of the changes in the x and y coordinates.

Q: How do you calculate the change in y for a vector?

To calculate the change in y, subtract the y-coordinate of the initial point from the y-coordinate of the terminal point.

Q: Why are the squared values important in the magnitude calculation?

The squared values ensure that the length of a side in the triangle representing the vector is always positive, regardless of the direction, as the square of a negative value is positive.

Summary & Key Takeaways

  • The video demonstrates how to find the magnitude of a vector by calculating the distance between its initial and terminal points.

  • The magnitude of a vector can be determined using the distance formula, which is derived from the Pythagorean theorem.

  • By analyzing the changes in the x and y coordinates, the video shows how to calculate the magnitude of a vector using the Pythagorean theorem.

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