Can Someone Do this For me? But Detail please. I want some details with every an

Question

Can Someone Do this For me? But Detail please. I want some details with every answer as its maths. Yes this involves Assumption and places can be searched on google. Thank You. Please No one liner answer. I want details.

1. This question is intended to embed our techniques with planes into a physical scenario. (a) Find the longitude, latitude and altitude of your home, H, of a building on campus of your choice, B, and of your favourite place in Perth, P (see notes 1 and 2 below). (b) Let , y and: be variables b) Let z, y and z be variables measuring in the east, north, and upwards directions, respec- tively. Find both the vector equation and the cartesian equation of a plane that passes through H, B and P. Explain your method as you work through it. (c) Find a vector equation describing where your plane from (b) intersects sea level, z 0. d) How far is Rottnest Island from your plane? (e) Comment on the the results you have found: do they make sense physically? What are some possible limitations or assumptions in what you have done?

Explanation / Answer

Coordinates

1. P=10, 20, 53 (x1, y1, z1)

2. Q= 5, 30, 35 (x2, y2, z2)

3. R= 45,80, 23 ( x3, y3, z3)

Vector equation

(P-Q)= (5,-10,18)

P-R = - 40,-50,12

Equation = I J K

5 - 10 18

- 40 - 50 12

=I(-120+900)-J(60+720)+k (-250-400)

= 780i - 780j+650k

Z=0

x2-x1, y2-y1, z2-z1

= (5,-10,18)

This is assumption coordinates

- 40

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