Let u1=[1 1 -2] u2=[5 -1 2] u3=[0 0 1] Note that u1 and u2 are orthogonal but that u3 is not orthogonal to u1 and u2 it can be shown that u3 is not the subspace W spanned by u1 and u2.Use this factor to construct the nonzero factor v in R3 that is orthogonal to u1 and u2.

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet