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In this video, we look at ways to find the magnitude and direction of position vectors. We derive the formula for the magnitude of a position vector. We look at a few lazy ways to talk about direction of a vector before talking about the direction cosines. We also discuss why cosines are better at this than sine or tan. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncer...) Timestamps: 0:00 What is a position vector? 1:06 Magnitude of a position vector 3:01 Direction ratios of a position vector 4:48 Direction cosines of a position vector 6:54 Finding the values for a point 8:01 Why do we have direction cosines? Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta