Hey! Just need some help with this. It would be preferred if the solutions were written out on paper thanks!

MCV 4U Unit #3 Assignment Intersection of Lines and Planes PART A: You are to make up systems of equations of three planes that satisfy the condition(s) given below. a) Planes are all parallel but distinct b) Planes intersect at the point P(4, 5, -2) c) Planes intersect in a sheaf of planes (star shape one common line of Intersection). Hint: Choose 3 co-planar normals. 113 = 111 + n2. Then choose D3 = DI + D2 for consistency of the system. d) Planes intersect in pairs e) Planes intersect in the line [x,y,z] = [4,2,1] + t[1, 9, 7] f) Planes intersect in pairs and are all parallel to the z-axis g) Planes intersect at the point (-3, 1, 2) and are all orthogonal to each other h) Planes intersect along the y-axis You must then show they intersect in the specied way by solving for their intersection using the method demonstrated in class (algebraically) andlor explain how you know they intersect in this way. For example, for question a) don't just write the three equations. Write the equations and show that they are parallel but distinct. All nal answers for lines must be placed in PARAMETRIC FORM. All nal answers for equations of planes must be placed in SCALAR FORM. Restrictions: " You may NOT use equations from the textbook or class notes. " You may NOT use the internet, other resource books to get your equations. " You must create your equations! You must have different answers than each of your classmates (sorry no sharinglj. PART B Use Geogebra to modellverify each situation. Use coloured planes to help distinguish between planes. Before you submit your work for Part A: Did you write all lines in parametric form and all planes in scalar form? Did you show the intersection by solving each question algebraically? Did you write the intersection as a point, or parametric equations of a line and scalar equations of planes when appropriate? Are your solutions easy to follow