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. **

A perfume wholesale distributor is being sought to supply a range of fragrances to retailers and other businesses. The distributor should have a wide selection of popular and niche perfumes, as well as the ability to handle large orders and provide competitive pricing. Additionally, the distributor should have a strong track record of reliability and customer service to ensure a smooth and efficient supply chain for the perfumes. **

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. **

B2B wholesale trade refers to the buying and selling of goods or products between businesses, rather than between a business and a consumer. This type of trade typically involves larger quantities of goods and is often conducted between manufacturers, wholesalers, and retailers. B2B wholesale trade can involve a variety of products, including raw materials, finished goods, and supplies, and is an essential part of the supply chain for many industries. This type of trade often involves negotiations, contracts, and long-term relationships between the businesses involved. **

One option for finding a wholesale supplier for drugstore items is to use online directories such as Alibaba or Thomasnet to search for suppliers that specialize in pharmaceutical or health and beauty products. Another option is to attend trade shows or industry events where you can meet and network with potential suppliers. Additionally, reaching out to industry associations or trade organizations for recommendations on reputable wholesale suppliers can also be a helpful approach. It's important to thoroughly research and vet potential suppliers to ensure they meet your business's needs and standards. **

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). **

Wholesale trade refers to the buying and selling of goods in large quantities, typically to retailers, industrial, commercial, or other professional business users. It involves the purchase of goods from manufacturers or other suppliers and the resale of those goods to businesses or institutional clients, rather than to individual consumers. Wholesale trade plays a crucial role in the supply chain, as it helps to distribute goods efficiently and at scale to meet the needs of businesses and other large-scale buyers. **