Based on this given problem,would the solutions regarding the projections of the coordinates be correct? If not, what is the right mindset when given a problem like this?In 3-dimensions, what is the correct way to understand finding the length of the correct diagonal boxes? Consider the point.(3, 4, 5)What is the projection of the point on the xy-plane?(x, y, z) = |3, 4, 0What is the(x, y, z) = |What is the(x, y, z) = |projection of the point on the yz-plane?0, 4, 5@projection of the point on the xz-plane?3, 0, 5Draw a rectangular box with the origin and (3, 4, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box.(3, 0, 5)(3, 0, 0)XZ(0, 0, 5) (0, 4, 5)0, 0, 0)+(3, 4, 5)(0, 4, 0)(3, 4, 0)Find the length of the diagonal of the box.①0(5, 0, 3)(0, 0, 3)XZ(5, 0, 0)(0, 0, 0)(5, 4, 0)-(3, 4, 5)(0, 4, 0)(0, 4, 3)(0, 5, 3)(0, 0, 3)XZ(0, 5, 0)(0, 0, 0)(4, 5, 0)(3, 4, 5)(4, 0, 0)(4, 0, 3)(0, 3, 5)(0, 3, 0)xZ(0, 0, 5)(0, 0, 0)(4, 0, 5)+(3, 4, 5)(4, 0, 0)(4, 3, 0)

According to the given data, find the following:

Consider the point. (3, 4, 5) What is the projection of the point on the xy-plane? (x, y, z)= 3, 4, 0 What is the projection of the point on the yz-plane? (x, y, z) = 0, 4, 5 What is the projection of the point on the xz-plane? (x, y, z)=(3, 0,5 Draw a rectangular box with the origin and (3, 4, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box. (3, 0, 5) (3, 0, 0 x z (0, 0, 5) (0, 4, 5) -(3, 4, 5) 0, 0, 0) (0, 4, 0) (3, 4, 0) Find the length of the diagonal of the box. y DO z (5, 0, 0) (5, 4, 0) (0, 5, 0) (4, 5, 0) (5, 0, 3) (0, 5, 3) I b (3, 4, 5) -(3, 4, 5) 0, 0, 0) (0, 4, 0) 0, 0, 0) (4, 0, 0) (0, 0, 3 (0, 4, 3) (0, 0, 3) (4, 0, 3) X y X y (0, 3, 5) (0, 3, 0 Z (0, 0, 5) (4, 0, 5) (0, 0, 0) +(3, 4, 5) (4, 0, 0) (4, 3, 0) y

Consider the point. (3, 4, 5) What is the projection of the point on the xy-plane? (x, y, z)= 3, 4, 0 What is the projection of the point on the yz-plane? (x, y, z) = 0, 4, 5 What is the projection of the point on the xz-plane? (x, y, z)=(3, 0,5 Draw a rectangular box with the origin and (3, 4, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box. (3, 0, 5) (3, 0, 0 x z (0, 0, 5) (0, 4, 5) -(3, 4, 5) 0, 0, 0) (0, 4, 0) (3, 4, 0) Find the length of the diagonal of the box. y DO z (5, 0, 0) (5, 4, 0) (0, 5, 0) (4, 5, 0) (5, 0, 3) (0, 5, 3) I b (3, 4, 5) -(3, 4, 5) 0, 0, 0) (0, 4, 0) 0, 0, 0) (4, 0, 0) (0, 0, 3 (0, 4, 3) (0, 0, 3) (4, 0, 3) X y X y (0, 3, 5) (0, 3, 0 Z (0, 0, 5) (4, 0, 5) (0, 0, 0) +(3, 4, 5) (4, 0, 0) (4, 3, 0) y

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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