https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:three-dimensional-geometry-ncert-new/x6f66cbee9a2f805b:untitled-1146/v/distance-between-skew-lines-intuition 2025-05-22T13:12:03.767544849Z Distance between skew lines (intuition) In this beautiful video, we first look at the 3D animation of 2 skew lines and try to get a feel of the minimum distance between them. We then find this minimum distance in vector form. We then apply our knowledge of vectors to find the distance in cartesian form as well. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Distance between skew lines (intuition) In this beautiful video, we first look at the 3D animation of 2 skew lines and try to get a feel of the minimum distance between them. We then find this minimum distance in vector form. We then apply our knowledge of vectors to find the distance in cartesian form as well. https://cdn.kastatic.org/ka-youtube-converted/t7vDAe3-PV8.mp4/t7vDAe3-PV8.mp4 492 Shortest Distance between Two Lines https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:three-dimensional-geometry-ncert-new/x6f66cbee9a2f805b:untitled-1146/v/distance-between-skew-lines-applying-formulae 2025-05-22T13:12:03.767544849Z Distance between skew lines (applying formulae) In this video, we apply the formula derived in the previous video to find the shortest distance between two skew lines. We first do that in vector form. We then apply the formula for vector form to solve a problem when the equations are given in cartesian form. We realise that the vector form is more convenient. We finally solve a problem where the given equations need some rearrangement to get to the vector form. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Distance between skew lines (applying formulae) In this video, we apply the formula derived in the previous video to find the shortest distance between two skew lines. We first do that in vector form. We then apply the formula for vector form to solve a problem when the equations are given in cartesian form. We realise that the vector form is more convenient. We finally solve a problem where the given equations need some rearrangement to get to the vector form. https://cdn.kastatic.org/ka-youtube-converted/pmg7hBvjyA8.mp4/pmg7hBvjyA8.mp4 645 Shortest Distance between Two Lines https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:three-dimensional-geometry-ncert-new/x6f66cbee9a2f805b:untitled-1146/v/distance-between-parallel-lines-intuition 2025-05-22T13:12:03.767544849Z Distance between parallel lines (intuition) In this video, we learn how to find the distance between two parallel lines in 3D. We first derive the formula to get the distance between two given lines. We then understand why it works in vector form. We then apply the formula to get the distance between two given parallel lines. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Distance between parallel lines (intuition) In this video, we learn how to find the distance between two parallel lines in 3D. We first derive the formula to get the distance between two given lines. We then understand why it works in vector form. We then apply the formula to get the distance between two given parallel lines. https://cdn.kastatic.org/ka-youtube-converted/BaRtljp7ZdQ.mp4/BaRtljp7ZdQ.mp4 344 Shortest Distance between Two Lines https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:three-dimensional-geometry-ncert-new/x6f66cbee9a2f805b:untitled-1146/e/shortest-distance-between-two-lines 2025-08-08T02:45:51.78671331Z Shortest distance between two lines Find shortest distance between two skew or parallel lines. exercise