A hiker begins at the origin and walks in a straight line in the direction of the vector (1,1) for 2/2 kilometres, then in the direction of the vector (-1,1) for V2 kilometres, and then in a straight line back to the origin. (a) Plot the path of the hiker in the ry-plane, clearly marking the values of the coordinate where there is a change of direction. (b) Calculate the total distance travelled by the hiker. (c) By regarding the xy-plane as contained in R, use an appropriate formula involving cross products to compute the area enclosed by the path of the hiker.
A hiker begins at the origin and walks in a straight line in the direction of the vector (1,1) for 2/2 kilometres, then in the direction of the vector (-1,1) for V2 kilometres, and then in a straight line back to the origin. (a) Plot the path of the hiker in the ry-plane, clearly marking the values of the coordinate where there is a change of direction. (b) Calculate the total distance travelled by the hiker. (c) By regarding the xy-plane as contained in R, use an appropriate formula involving cross products to compute the area enclosed by the path of the hiker.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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