Problem 1.2 (3 points). Let us dene the vectors 61,...,6n E R\" by 61=(1,0,0,---,0) 32:0]11303-\"1'\" en = (0,0,0,...,1). (a) Prove that 81, . . . ,en fawn a basis1 of R\". Use this fact to compute the dimension of R\". (b) Give an example of a line in R\" using a span of a subset of {61, . . . , en}. (c) Give an example of a hyperplane in R\" using a span of a subset of {61, . . . ,en}