5 In each of the following, show all points and vectors graphically, and express the indi- cated vector in the form aî + bj. (i) AB, given that OA = 31 - j, OB 21+ 3j. (ii) The vector from the point A(-1,3) to the origin. (iii) OP where P is the midpoint of CD, and C and D are the points (2, 1) and (-4, 3) respectively. (iv) A unit vector making an angle of a/3 radians with the positive r-axis. (v) A unit vector parallel to 31 - 4j. (vi) A vector of magnitude 4 in the same direction as 3î-4j.
5 In each of the following, show all points and vectors graphically, and express the indi- cated vector in the form aî + bj. (i) AB, given that OA = 31 - j, OB 21+ 3j. (ii) The vector from the point A(-1,3) to the origin. (iii) OP where P is the midpoint of CD, and C and D are the points (2, 1) and (-4, 3) respectively. (iv) A unit vector making an angle of a/3 radians with the positive r-axis. (v) A unit vector parallel to 31 - 4j. (vi) A vector of magnitude 4 in the same direction as 3î-4j.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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