O Please Show every step: The following right pyramid with square base¹ is located in R³ so that the vertex O is on the origin and the edge x of the base is along x-axis and edge y of the base is along y-axis. Suppose that the edges of the base is 3√√2 meter and the height of is 5m. a) Find the coordinates of the apex point of the pyramid. b) Use your vectors knowledge to find the area of a lateral face. (No mark is given if you don't use the vector operations and geometry). C) Find an equation in parametric form for the line that forms the blue edge of the pyramid. d) Find an equation for the lateral face of the pyramid that is coloured blue in the image. Lateral Face 0 Height 7X Apex Slant Height Edge Base

O Please Show every step: The following right pyramid with square base¹ is located in R³ so that the vertex O is on the origin and the edge x of the base is along x-axis and edge y of the base is along y-axis. Suppose that the edges of the base is 3√√2 meter and the height of is 5m. a) Find the coordinates of the apex point of the pyramid. b) Use your vectors knowledge to find the area of a lateral face. (No mark is given if you don't use the vector operations and geometry). C) Find an equation in parametric form for the line that forms the blue edge of the pyramid. d) Find an equation for the lateral face of the pyramid that is coloured blue in the image. Lateral Face 0 Height 7X Apex Slant Height Edge Base

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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