Let f be the linear transformation that orthogonally projects each vector in r^3 onto the plane defined by x + y + 2z = 0 find a orthonormal basis for the subspace defined by the plane.

Adriver from the university of florida women’s swimming and diving team is competing in the in ncaa zone b championships

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.

Aconstruction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut without having any rope leftover?