6 Assignment for Section 1.1: Vectors and linear combinations (1) If v+w= and v-w= [✓]), compute and draw the vectors v and W. (2) From v = - [}] and w= find the components of 3v+w and cv + dw. 2 (3) What combination c © [ 2 ] + 4 [ 3 ] produces produces [14]? Express the question as two equations for the coefficients c and d in the linear combination. Note: in printing, a vector is denoted as a lowercase letter in boldface, e.g., v. In handwriting, we put an arrow over the letter to denote this vector, e.g., v.

if given the equation yi = B0 + B1xi +ui and express the same equation as y = xiB = ui (where xi and B here are vectors), does vector xi = [1 x1] or xi = [x1] (row vector) and B vector (column vector) = [B0; B1]?

Consider the following vectors: u = (1, −2, −1), v = (-2, 1, 8) Without using the cross product, find a vector n which is orthogonal to both u and U. You need to use a notion from chapter 5 to set up a system of linear equations, then use RREF to solve the system. Explain why this method works.