Problem 1 (3). Express the vector 2(i+j-3k)+(0,0,2)+2(1,0, 1) in term of the standard basis (i.e. i,j&k).
Problem 2 (6). Write the equation of a line that passes through the two points P(4,1,3) and Q(3, 1, 4).
Problem 3 (1+3). Determine if the above line intersects the xy-plane or the xz-plane or the yz-plane? If yes, find the point of intersection for each plane.