How to solve a,b,c A hiker begins at the origin and walks in a straight line in the direction of the vector (1,1) for2/2 kilometres, then in the direction of the vector (-1,1) for /2 kilometres, and then in astraight line back to the origin.(a) Plot the path of the hiker in the xy-plane, clearly marking the values of the coordinatewhere 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 crossproducts to compute the area enclosed by the path of the hiker.

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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 /2 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 ry-plane as contained in R°, use an appropriate formula involving cross products to compute the area enclosed by the path of the hiker.