Koodo 2:20 PM online.mun.ca 10 44% MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF MATHEMATICS AND STATISTICS Assignment 2 Mathematics 2050 Due: May 29th, 2019 SHOW ALL WORK 1. Which of the following equations define a plane? (a) x=> (e) x- (b) HER x=> (d) x-> +a Spring 2019 AER 2. Does the point P(1,-2,3) belong to the plane X = A. ER? 3. After last Friday's class (May 17), Alicia decided to study a bit more. She found a book in the library that had solutions in the end. A exercise had three items asking for the equation of the line. On the left we have Alicia's answers and on the right, the solutions from the book. Which items did she solved correctly? (a) x= +A AER x= 120 +A AER (b) x= -0-0- AER x= AER (c) x- ACR x= +A0ACR 4. Let, and be vectors. Show that the span of , and is equal to the span of -2,3 and + 5. Which of the following sets are linearly independent? (a) (b) {3-3-3)} Koodo 2:21 PM online.mun.ca (b) 444% {3-3-3)} 6. For what values of x (if any) are the vectors if= 1 linearly independent? -}--A- and 32-3 7. Solve the given system. What kind of geometric figure does its solution define? (a) +234 (b) 22 +2=1 --3 x+2y+4 = 3 x+2y+6: 5 +3y+5 4