To specify the subspace spanned by three vectors, one can first form a matrix with the three vectors as its columns. Then, perform row reduction to obtain the reduced row-echelon form of the matrix. The non-zero rows of the reduced row-echelon form correspond to a basis for the subspace spanned by the three vectors. Finally, the subspace spanned by the three vectors can be specified by writing the basis vectors as a linear combination. **

An affine subspace is a subset of a vector space that is obtained by translating a subspace by a fixed vector. It is a flat geometric object that does not necessarily pass through the origin. On the other hand, a spanned subspace is a subspace that is formed by taking linear combinations of a set of vectors. It is the smallest subspace that contains all the vectors in the set. **

The parameter equation of the plane E spanned by the lines G and H can be expressed as: E: r = a + s * (b - a) + t * (c - a) where r is a point on the plane, a is a point on the plane, and b and c are points on the lines G and H, respectively. The parameters s and t are real numbers. This equation represents all the points on the plane E that can be reached by taking linear combinations of the direction vectors of the lines G and H. **

No, 4K resolution is not only available for YouTube premium members. YouTube offers 4K resolution videos to all users, both free and premium. However, the ability to stream videos in 4K resolution may depend on the device being used and the internet connection speed. Some older devices or slower internet connections may not support 4K streaming. **

Some of the anime that are exclusive to Crunchyroll Premium include "Attack on Titan," "One Piece," "My Hero Academia," "Demon Slayer," and "Naruto Shippuden." These popular anime series are only available to watch on Crunchyroll with a Premium subscription, making it a desirable platform for anime fans. Additionally, Crunchyroll also offers simulcast of new episodes for many ongoing anime series, giving Premium subscribers early access to the latest episodes. **

To determine the orthogonal complement of the vector space spanned by the vectors (0, 1, 2), you first need to find a basis for the subspace spanned by these vectors. In this case, the vectors (0, 1, 2) already form a basis for the subspace. Next, you can find the orthogonal complement by finding vectors that are orthogonal to all vectors in the subspace. In this case, any vector of the form (a, b, c) where a, b, and c are not all zero and satisfy the equation a*0 + b*1 + c*2 = 0 will be orthogonal to the subspace spanned by (0, 1, 2). **

No, I am not an ADAC Premium member. **

One Piece is only available for premium members on Crunchyroll because it is a popular and highly sought-after anime series. By making it exclusive to premium members, Crunchyroll can incentivize more viewers to subscribe to their premium service, which helps support the production and licensing costs of the show. This model allows Crunchyroll to continue offering a wide range of anime content to its users while also ensuring that popular series like One Piece receive the necessary financial support for their continued production and distribution. **