https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/v/adding-and-subtracting-vectors 2022-09-27T03:20:10.805796422Z Adding & subtracting vectors Sal shows how to add vectors by adding their components, then explains the intuition behind adding vectors using a graph. video https://cdn.kastatic.org/ka_thumbnails_cache/ac2e0efb-cfd4-4244-ae6d-8513f1996e1d_1280_720_base.png Adding & subtracting vectors Sal shows how to add vectors by adding their components, then explains the intuition behind adding vectors using a graph. https://cdn.kastatic.org/ka-youtube-converted/VgqsM-XdBD0.mp4/VgqsM-XdBD0.mp4 462 Suma y resta de vectores https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/v/visually-adding-and-subtracting-vectors 2022-09-27T03:20:10.805796422Z Adding & subtracting vectors end-to-end Build intuition behind adding and subtracting vectors visually and the "end-to-end" method. video https://cdn.kastatic.org/ka_thumbnails_cache/cb5cbacd-9178-441b-bc24-2f475af857bf_1280_720_base.png Adding & subtracting vectors end-to-end Build intuition behind adding and subtracting vectors visually and the "end-to-end" method. https://cdn.kastatic.org/ka-youtube-converted/BsBH8nAv5l4.mp4/BsBH8nAv5l4.mp4 382 Suma y resta de vectores https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/v/parallelogram-rule-for-vector-addition 2022-10-07T00:22:18.752150461Z Parallelogram rule for vector addition The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that starts at the same point as the vectors. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/88e49511-3fdd-4587-95b5-265ce5c45184_1280_720_base.png Parallelogram rule for vector addition The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that starts at the same point as the vectors. https://cdn.kastatic.org/ka-youtube-converted/Mep0foZMOCg.mp4/Mep0foZMOCg.mp4 140 Suma y resta de vectores https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/e/adding_vectors 2025-03-12T14:20:10.072734823Z Add vectors Add vectors component-wise, end-to-end, and with the parallelogram rule. Ben Alpert exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/v/subtracting-vectors-exercise-example 2021-04-05T10:50:37Z Subtracting vectors end-to-end Watch Sal determine which diagram represents vector subtraction graphically. Sal Khan video https://cdn.kastatic.org/googleusercontent/kF4zuMOxQSdjRxvxQHBqNJAbl3oAcedgkGaV6a0hggR3G53S6gMikM0FJdkG1jLvCCrBxzwqzupHfh8IZlSF02cr0g Subtracting vectors end-to-end Watch Sal determine which diagram represents vector subtraction graphically. https://cdn.kastatic.org/ka-youtube-converted/coDfeoi2zcQ.mp4/coDfeoi2zcQ.mp4 104 Suma y resta de vectores https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/v/subtracting-vectors-with-parallelogram-rule 2022-10-07T00:22:18.752150461Z Subtracting vectors with parallelogram rule The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that starts at the same point as the vectors. To subtract two vectors, we simply add the first vector and the opposite of the second vector, i.e., a+b=a+(-b). Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/7903599e-b788-48e3-954b-40540a3bae92_1280_720_base.png Subtracting vectors with parallelogram rule The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that starts at the same point as the vectors. To subtract two vectors, we simply add the first vector and the opposite of the second vector, i.e., a+b=a+(-b). https://cdn.kastatic.org/ka-youtube-converted/4mRDJf6tShs.mp4/4mRDJf6tShs.mp4 166 Suma y resta de vectores https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/e/graphically-adding-and-subtracting-vectors 2026-04-07T23:55:07.30621384Z Subtract vectors Subtract vectors component-wise, end-to-end, and with the parallelogram rule. Tomer Gal exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vector-add-sub/v/mag-vec-sums 2021-04-11T18:11:06Z Vector addition & magnitude Sal explains some interesting properties of the magnitude of vector sums. Sal Khan video https://cdn.kastatic.org/googleusercontent/7Bg-Zr7CnYRmeL0COiS0UZmWNyrvNZXISbRKaZlPhb4T0RNglGbOpLZ435V93h07BeHvtjRyl2w66gDPDDXklgM Vector addition & magnitude Sal explains some interesting properties of the magnitude of vector sums. https://cdn.kastatic.org/ka-youtube-converted/0t8W4JFpP2M.mp4/0t8W4JFpP2M.mp4 330 Suma y resta de vectores