https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:vector-algebra-ncert-new/x7ce8ca9c5869750b:section-formula/v/section-formula-in-3d-intuition 2025-06-25T04:37:22.958747522Z 3D में खण्ड सूत्र (सामान्य समझ) In this video, we find the vector which divides the line segment joining two given vectors in a given ratio. We first solve the problem for the case of internal division. We then solve the same scenario for external division. We leverage the concept of collinearity to solve such problems. Once we have the intuition, we generalise these results for internal and external division. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 3D में खण्ड सूत्र (सामान्य समझ) In this video, we find the vector which divides the line segment joining two given vectors in a given ratio. We first solve the problem for the case of internal division. We then solve the same scenario for external division. We leverage the concept of collinearity to solve such problems. Once we have the intuition, we generalise these results for internal and external division. https://cdn.kastatic.org/ka-youtube-converted/ZFvmtjk_UX4.mp4/ZFvmtjk_UX4.mp4 514 विभाजन सूत्र https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:vector-algebra-ncert-new/x7ce8ca9c5869750b:section-formula/v/section-formula-in-3d-derivation 2025-06-25T04:37:22.958747522Z 3D में खण्ड सूत्र (व्युत्पन्न) In this video, we derive the section formula for vectors for both internal and external division. We leverage the concept of collinearity to find the vector that divides the line segment joining two vectors in a given ratio. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 3D में खण्ड सूत्र (व्युत्पन्न) In this video, we derive the section formula for vectors for both internal and external division. We leverage the concept of collinearity to find the vector that divides the line segment joining two vectors in a given ratio. https://cdn.kastatic.org/ka-youtube-converted/ez5tIuA2iaI.mp4/ez5tIuA2iaI.mp4 443 विभाजन सूत्र https://hi.khanacademy.org/math/ncert-class-12/x7ce8ca9c5869750b:vector-algebra-ncert-new/x7ce8ca9c5869750b:section-formula/v/using-section-formula-to-find-the-ratio 2025-06-25T04:37:22.958747522Z अनुपात ज्ञात करने के लिये खण्ड सूत्र का उपयोग करना In this video, we learn how to use the section formula to find the ratio in which a given vector divides the line segment joining two given points. We first solve a problem where the line segment is divided internally. In the second scenario, the point divides the line segment externally. We also learn that the components of the given vectors need not always be unit vectors along the axes for the section formula to work. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw अनुपात ज्ञात करने के लिये खण्ड सूत्र का उपयोग करना In this video, we learn how to use the section formula to find the ratio in which a given vector divides the line segment joining two given points. We first solve a problem where the line segment is divided internally. In the second scenario, the point divides the line segment externally. We also learn that the components of the given vectors need not always be unit vectors along the axes for the section formula to work. https://cdn.kastatic.org/ka-youtube-converted/2SRv0HY48Mk.mp4/2SRv0HY48Mk.mp4 562 विभाजन सूत्र