Question 1 [(1+2)+6+4 marks) consider the subspace w = span{(-1,1,,2,1)}. (a) () find the dot product of the two vectors given. (ii) find the dimension of w, explaining your reasoning. (b) use the gram-schmidt process to make the basis vectors into an orthogonal set. then make each vector into a unit vector. (c) find the orthogonal projection of the vector x=(2,1,1) onto w.

The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

What is the perimeter of trapezoid jklm? + units 2 + + units 9 + units 9 + + units

This is different from the first one can someone me