https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:vector-algebra-ncert-new/x6f66cbee9a2f805b:basic-concepts-of-vectors/v/types-of-vectors-in-3d 2025-05-22T13:12:03.767544849Z Types of vectors in 3D In this video, we realise that if the vectors are not free, then even if they have the same magnitude and direction, they may not be equal. We learn about free, sliding, and fixed vectors. We then look at different types of vectors - unit, zero, equal, opposite, collinear, and co-initial. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Types of vectors in 3D In this video, we realise that if the vectors are not free, then even if they have the same magnitude and direction, they may not be equal. We learn about free, sliding, and fixed vectors. We then look at different types of vectors - unit, zero, equal, opposite, collinear, and co-initial. https://cdn.kastatic.org/ka-youtube-converted/vvVpK-mTqQg.mp4/vvVpK-mTqQg.mp4 554 Basic concepts of vectors https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:vector-algebra-ncert-new/x6f66cbee9a2f805b:basic-concepts-of-vectors/e/types-of-vectors 2025-08-08T02:45:51.78671331Z Types of vectors Types of vectors Ashish Gupta exercise https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:transformations-and-vectors/x3f4c73d082a798eb:vector-geometry/v/magnitude-and-direction-of-position-vectors-in-3d 2025-05-22T13:12:03.767544849Z Magnitude and direction of position vectors in 3D In this video, we look at ways to find the magnitude and direction of position vectors. We derive the formula for the magnitude of a position vector. We look at a few lazy ways to talk about direction of a vector before talking about the direction cosines. We also discuss why cosines are better at this than sine or tan. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Magnitude and direction of position vectors in 3D In this video, we look at ways to find the magnitude and direction of position vectors. We derive the formula for the magnitude of a position vector. We look at a few lazy ways to talk about direction of a vector before talking about the direction cosines. We also discuss why cosines are better at this than sine or tan. https://cdn.kastatic.org/ka-youtube-converted/Wxc8bcYpCl8.mp4/Wxc8bcYpCl8.mp4 574 Basic concepts of vectors https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:vector-algebra-ncert-new/x6f66cbee9a2f805b:basic-concepts-of-vectors/v/components-of-a-vector-in-3d 2025-05-22T13:12:03.767544849Z Components of a vector in 3D In this video, we talk about the components of a vector in 3D. For reference, we use unit vectors along x, y, and z axes and represent the vectors in terms of sums of multiples of these unit vectors. We also represent a vector between two points. We solve a few problems to get familiar with the notations. Finally, we look at a few properties of algebra of vectors. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Components of a vector in 3D In this video, we talk about the components of a vector in 3D. For reference, we use unit vectors along x, y, and z axes and represent the vectors in terms of sums of multiples of these unit vectors. We also represent a vector between two points. We solve a few problems to get familiar with the notations. Finally, we look at a few properties of algebra of vectors. https://cdn.kastatic.org/ka-youtube-converted/hXkWzpONpG4.mp4/hXkWzpONpG4.mp4 529 Basic concepts of vectors 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 Basic concepts of vectors https://www.khanacademy.org/math/algebra-home/alg-vectors/alg-vector-basics/v/vector-representations-example 2021-05-12T18:47:51Z Recognizing vectors Watch Sal figure out which of a few options could be represented by a vector. Remember that vectors have both magnitude and direction! Sal Khan video https://cdn.kastatic.org/googleusercontent/8h0q3n1wWpbCKux5WgD2M_FI7bBdOgkG2sd3h6HDS7AKkGJpm3N92dyBNlnIvZuvOEsY8J9wk3Jlp9CbXp-IsPLy9w Recognizing vectors Watch Sal figure out which of a few options could be represented by a vector. Remember that vectors have both magnitude and direction! https://cdn.kastatic.org/ka-youtube-converted/n8Ic2Oj-zvA.mp4/n8Ic2Oj-zvA.mp4 156 Basic concepts of vectors https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:vector-algebra-ncert-new/x6f66cbee9a2f805b:basic-concepts-of-vectors/e/magnitude-and-direction-of-vectors-basic 2025-05-05T08:14:25.350149109Z Magnitude and direction of vectors (basic) Basic procedural questions covering magnitude, direction ratios and direction cosines. exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:vector-algebra-ncert-new/x6f66cbee9a2f805b:basic-concepts-of-vectors/e/magnitude-and-direction-of-vectors-advanced 2021-08-08T06:20:54.306101071Z Magnitude and direction of vectors (advanced) conceptual and higher level difficulty problems on magnitude and direction of vectors exercise 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