https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/v/adding-vectors 2021-04-11T10:35:13Z Adding vectors algebraically & graphically To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​ Sal Khan video https://cdn.kastatic.org/googleusercontent/Pjn41DQu5DezC8aWSa7v-20xHlaV7bUJZMqe6dCNl-zcQvkL6eYbxe7WOT4cRA4zlOFNFtjHx47YWNBWBwzSGjvW Adding vectors algebraically & graphically To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​ https://cdn.kastatic.org/ka-youtube-converted/8QihetGj3pg.mp4/8QihetGj3pg.mp4 432 Addition and subtraction of vectors 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/linear-algebra/vectors-and-spaces/vectors/e/adding-vectors-in-magnitude-and-direction-form 2026-04-07T23:55:07.30621384Z Add vectors: magnitude & direction to component Add two vectors in magnitude and direction form to get a new vector in component form. Cameron Christensen 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 Addition and subtraction of vectors 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