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. **

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). **

Mattress covers that are recommended for dust mite protection are those that are specifically designed to be allergen-proof and have a pore size of less than 10 microns to prevent dust mites and their allergens from passing through. Look for covers that are made of tightly woven fabric and are also waterproof to protect against spills and stains. Additionally, it's important to choose a cover that is easy to wash and maintain to ensure long-term effectiveness in protecting against dust mites. **

One affordable alternative to weather protection for patio covers is using outdoor fabric or canvas to create a DIY cover. This can be a cost-effective option for those looking to protect their patio furniture and space from the elements. Another option is to use a pergola with a retractable canopy, which can provide shade and protection from the sun and rain at a lower cost than a fully enclosed patio cover. **

A bellows camera is a type of camera that uses a flexible accordion-like bellows to allow for adjustments in the distance between the lens and the film or sensor. This design enables the camera to focus on subjects at various distances by extending or retracting the bellows. Bellows cameras are typically large format cameras used for high-quality photography, such as landscapes, portraits, and still life images. **

Buyer protection seals from eKomi or TrustedShops can be recommended for websites/shops as they provide a sense of security and trust to potential customers. These seals indicate that the website/shop has been verified and is committed to providing a positive shopping experience. This can help to increase customer confidence and potentially lead to higher conversion rates. However, it's important to note that these seals should be used in conjunction with other trust-building measures, such as secure payment options and clear return policies, to ensure a positive overall shopping experience for customers. **