https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vectors-intro/v/introduction-to-vectors-and-scalars 2022-11-16T04:22:43.7414897Z Intro to vectors and scalars Scalars and vectors are two kinds of quantities that are used in physics and math. Scalars are quantities that only have magnitude (or size), while vectors have both magnitude and direction. Explore some examples of scalars and vectors, including distance, displacement, speed, and velocity. Sal Khan video https://cdn.kastatic.org/googleusercontent/SFXLQFnHWrTVZaa4NzMWWzUXI3ZJ3WmlUO6lpiswGs9XkUr7Z_mQUVR-smC5VDB3BOQJmyi1dsu0qttkt5cAEAyx Intro to vectors and scalars Scalars and vectors are two kinds of quantities that are used in physics and math. Scalars are quantities that only have magnitude (or size), while vectors have both magnitude and direction. Explore some examples of scalars and vectors, including distance, displacement, speed, and velocity. https://cdn.kastatic.org/ka-youtube-converted/ihNZlp7iUHE.mp4/ihNZlp7iUHE.mp4 519 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vectors-intro/e/equivalent-vectors 2026-03-10T05:00:40.135420241Z Vectors intro Determine if two vectors shown on a graph are equivalent. Ben Stenhaug exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vectors-intro/v/representing-quantities-with-vectors 2022-10-07T00:22:18.752150461Z Representing quantities with vectors Vectors can represent real-world quantities where it's important to have both a magnitude and a direction. One example for that is force: you want to represent a force's magnitude (or strength), but it's also important to indicate in what direction the force is applied. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/c0bf5064-85dc-4055-aca6-9572f779ed4a_1280_720_base.png Representing quantities with vectors Vectors can represent real-world quantities where it's important to have both a magnitude and a direction. One example for that is force: you want to represent a force's magnitude (or strength), but it's also important to indicate in what direction the force is applied. https://cdn.kastatic.org/ka-youtube-converted/TCOQzIONaz8.mp4/TCOQzIONaz8.mp4 166 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-components/v/introduction-to-vector-components 2022-10-07T00:22:18.752150461Z Introduction to vector components Vectors are quantities that have a magnitude and a direction. In the two-dimensional plane, we can describe them in an equivalent way, by thinking about the changes in x and y from the vector's tail to its head. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/817f6e7c-c6d5-4ce1-b85c-7e97e1402f31_1280_720_base.png Introduction to vector components Vectors are quantities that have a magnitude and a direction. In the two-dimensional plane, we can describe them in an equivalent way, by thinking about the changes in x and y from the vector's tail to its head. https://cdn.kastatic.org/ka-youtube-converted/hJkKADcQWj0.mp4/hJkKADcQWj0.mp4 316 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-components/v/example-finding-components-of-a-vector 2022-09-27T03:20:10.805796422Z Finding the components of a vector Sal finds the x and y-components of a vector given its graph. video https://cdn.kastatic.org/ka_thumbnails_cache/ccdf9069-d4e1-40c8-8580-2ceb2f92a912_1280_720_base.png Finding the components of a vector Sal finds the x and y-components of a vector given its graph. https://cdn.kastatic.org/ka-youtube-converted/BmDph4uNfPI.mp4/BmDph4uNfPI.mp4 198 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/science/ap-college-physics-1/xf557a762645cccc5:kinematics/xf557a762645cccc5:motion-in-2d/e/analyzing-vectors-in-2d-ap1 2026-07-23T15:40:48.523533503Z Vectors in 2D Practice adding, decomposing, and finding vector angles using trigonometry from word problems. April Russell exercise https://www.khanacademy.org/science/cambridge-o-level-physics-cie/x0e04e0cb682fb793:measuring-lengths/x0e04e0cb682fb793:scalars-and-vector-quantities/a/scalars-and-vectors 2026-05-01T14:10:52.97313295Z Learn and try: Scalars and vectors Distinguish between scalar and vector quantities. Learn how to represent and combine vectors in one dimension. article https://www.khanacademy.org/science/ap-college-physics-1/xf557a762645cccc5:kinematics/xf557a762645cccc5:motion-in-2d/a/what-are-velocity-components 2026-05-01T14:10:52.97313295Z Learn and try: Vectors in 2D Learn how to represent a two-dimensional vector using perpendicular components. article https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-components/v/example-comparing-x-components-of-vectors 2022-09-27T03:20:10.805796422Z Comparing the components of vectors Sal figures out which vectors have the same x-component given the graphs of 4 different vectors. video https://cdn.kastatic.org/ka_thumbnails_cache/f9cce388-46cc-49c8-97f8-0a9d5cb4ba33_1280_720_base.png Comparing the components of vectors Sal figures out which vectors have the same x-component given the graphs of 4 different vectors. https://cdn.kastatic.org/ka-youtube-converted/v7ZZ1ctT1k0.mp4/v7ZZ1ctT1k0.mp4 175 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-components/e/components_of_vectors 2026-04-07T23:55:07.30621384Z Components of vectors from endpoints Find the components of a vector given its starting point and end point. Ben Sten exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:component-form/v/vector-components-from-magnitude-and-direction 2022-09-27T03:20:10.805796422Z Vector components from magnitude & direction Sal finds the components of a couple of vectors given in magnitude and direction form. video https://cdn.kastatic.org/ka_thumbnails_cache/937f4918-b870-41aa-9b3f-ea12cb35ca32_1280_720_base.png Vector components from magnitude & direction Sal finds the components of a couple of vectors given in magnitude and direction form. https://cdn.kastatic.org/ka-youtube-converted/MkFbisCyjFc.mp4/MkFbisCyjFc.mp4 616 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:component-form/v/vector-component-in-direction 2021-04-11T10:35:13Z Vector components from magnitude & direction: word problem Given the magnitudes and directions of the forces two people are applying to a box, find the overall force that is applied in the direction of the target. Sal Khan video https://cdn.kastatic.org/googleusercontent/VHH4o3pt1RETXllTnly_xTHzsYbCziJFOUftdw_-GvMp4QIHkN5sQLbrWLveImbCMXqahQVhr8IOHC0oYLtnfMuI Vector components from magnitude & direction: word problem Given the magnitudes and directions of the forces two people are applying to a box, find the overall force that is applied in the direction of the target. https://cdn.kastatic.org/ka-youtube-converted/9A8wM1UMLyo.mp4/9A8wM1UMLyo.mp4 536 Vector and scalar quantities: properties and 2-D representation https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:component-form/e/converting-from-magnitude-and-direction-form-to-component-form 2025-03-12T14:20:10.072734823Z Vector components from magnitude & direction Take a vector given in magnitude and direction form and convert it to component form. Ben Stenhaug exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:component-form/a/vector-component-form-no-direction-angle 2024-10-28T20:22:05.023706061Z Vector components from magnitude & direction (advanced) Find a vector's components from its magnitude and direction. Direction angle is not given directly. article https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:component-form/a/vector-magnitude-and-direction-review 2024-10-28T20:22:05.023706061Z Converting between vector components and magnitude & direction review Review how to find a vector's magnitude and direction from its components and vice versa. article