6. Please explain with your calculations step by step. Question: For each of the plan systems below (a and b): I) using normal vectors, describe the relative position of the plans in the space; II) determines the intersection of the plans.

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

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Q: a) Consider the following equations, 0.7x + 2y 1.1x+y = 7 =6 i) Rearrange both equations into the…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Consider the lines y = 2x-3, y = x+ intersect to form a triangle. + 4, and y = x + 3. When graphed,…

A: The graph of  given linear equation will be Shaded region show that triangle formed by the given…

Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

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Q: A straight line passes through points A(-1,4) and B(0, -3). Write the equation of the line under:…

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Q: Define the points P = (-4, 6) and Q = (2, 4). Find the position vector corresponding to På. %3D %3D…

A: We will find the position vector of PQ as following

Q: Please answer and write correctly and neatly. Locate the following points in the three dimensional…

A: Given points are A(-7,3,0), B (0,5,3) & C (-4,-5,-3) are the points in three dimensional…

Q: Given 2 lines expressed in terms of vectors, how to determine the normal vector on the intersection…

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Q: 1) Determine if the figure is a parallelogram. Slope-of:- ВС: AD: C(6, 5) B(1,3)- AB: D(7, 1) CD:…

A: on solving this we get the

Q: Find the Norm, Direction and Sense of the Vector (8,10), it is requested to graph.

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Q: Exercise 1.5. Consider coordinates in the plane; i.e., pairs (a, b) where a,b e R. Recall that two…

A: Given: a,b To find: Program

Q: A coordinate system represented a point in the plane by an ordered pair of numbers called…

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Q: To which coordinate plane is the plane y = 1 parallel?

A: y=1

Q: B) find a vector that is parallel to the line whose equation is : 4-x 3-6z % = 3 – 3y = 5 9

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Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13

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Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=<8, 0>

Q: Let A, B, C and D be consecutive points of a parallelogram. Point E divides the diagonal AC so that…

A: Given A, B, C and D be consecutive points of a parallelogram. Point E divides the diagonal AC so…

Q: 8) Which equation BEST models the data? 185 a) V=x+ 157 b) Y=x+175 c) Y=x- 150 d) Y=.x+130 180 175…

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Q: Sketch a graph of each vector. 1) a = (9, -12)

A: According to our terms and conditions I have solved first part for next question repost

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: A) Let the equation y = -1. What does this equation represent in R2? What does this equation…

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