MTH 141 Midterm: MTH141 – W2012 Midterm1 (Solution)

• School: Ryerson University
• Department: Mathematics
• Course: MTH 141
• Professor: All

Document Summary

February 1 8"" 20 12 1: a) provided with two vectors ; and. Evaluate (; + 2 ;) . (3 tr + v). (4 marks) in rn such that 1;)) = f i , u. v = -3 and /(;i(= f i : b) let ; = (-2, 5, 3) and ;= (4,3, -1) be two vectors in r ~ . ~ e t e r m i n e p o j . (3 marks) February 1 8th, 20 12 : a) find the angle (in radians) at the vertex a of the triangle whose three vertices are. A(l, 1, -i), b(-3,2, -2) and c(2,2, -4). L \ ~ c z \ = ci"tz= k. G c =-[-cljc -i) j [ l 1, -3) 6 - 3 0 ~ " c - . - q ( i ~ u ~ i ~ c i i. =) p z = g s o *