Find the orthogonal projection of v onto the subspace w spanned by the vectors ui. (you may assume that the vectors ui are orthogonal.) v = 6 −3 9 −6 , u1 = 1 1 0 0 , u2 = 1 −1 −1 1 , "u3" = 0 0 1 1

hello, i am papaguy.

i have found an answer to your question but use it as information.

information: because weak acids/bases have low concentration of hydrogen ions, the addition of water has a large impact on the ph. 2. a difference in 1 unit is a 10x difference in concentration for example; a liquid with ph of 3 is 10x more acidic than a liquid with a ph of 4. therefore, a liquid with a ph of 3 is stronger.

best of luck!