MCV4U 8.1.3 Assessment Check: Vector and Parametric Equations (R2)A line passes through two points: A(2,-5) and B(-7,-3).a) Sketch this line.b) Write the vector and parametricequation for this line.Write a vector equation that is perpendicular to the line in question b) and passes throughP(0,2)

Answered: Image /qna-images/answer/036fdbf9-04c7-4e2e-b36e-97118ced4138.jpg

Answered: MCV4U 8.1.3 Assessment Check: Vector…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question 2 a) An aircraft, flying in a straight line, passes through the points (-6,7,2) and (-3,2,3) measured in kilometres. Find the vector form of the equation of the line that describes the flight path of the aircraft. Determine whether or not the aircraft is flying parallel to the ground which is described by the plane -4x + 6y + 42z = 17, where x.y and z are also measured in kilometres. b) A large shade sail is to be hung tautly between the tops of 3 poles. The tops of these poles are located at point A, B, and C as shown in the Figure 1 below. For instance the point A is located at (2, -3,3) m. find the vectors AB and AC and hence the equation of the plane through these three points. 3 m 5 m 2 m 0 2 m 3 m B 3 m 3 m Figure 1: The poles in Q2(b) which the large shade sail is to be hung taughtly between. c) A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time. One end of tunnel starts at the point A (80, -287,…
(It may help to draw a picture for this question). Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. The point with position vector (a+b+c) The point with position vector/1 a+ /b The point with position vector a+b+c Choose... Choose... Choose... (▶ ◆ <▶►
A line passes through the point (-3,2,1), and is parallel to the vector 6i + 6j + 6k. Find the standard parametric equations for the line, written using the components of the given vector and the coordinates of the given point. Let z = 1 +6t. y% = (Type expressions using t as the variable.)
Determine the vector and cartesian equation of the plane that passes through the points?(−3, −2,0), ?(1,3, −1) and ?(−1,2,4) B) Is the point ?(5,8, −2) on the plane? Explain/Show how you know. I NEED ANSWER FOR B MAINLY
Engineering math Create a parameter equation for the line that passes through Point A and is in the direction of vector b.
just answers : a-e1a.) The line (1) has a direction vector (2,4,6). Find the magnitude of the direction vector. 1b)Determine the vector equation for the line through the point A (-2,4) with a direction vector of d = (2,-3). 1c)Determine the parametric equation for the line through the point A (1,3) with a direction vector of d = (-1,-3). 1d)Determine the symmetric equation for the line through the point A (-2,4) with a direction vector of d = (2,-3). 1e)
3 4 33. Determine the vector equation, parametric equations, and, if possible, symmetric equation of the line that passes through the point P(1, 3, 5) and a. has direction vector (-2, -4, -10) b. also passes through the point Q(-7, 9, 3) c. is parallel to the line that passes through R(4, 8, -5) and S(-2, -5,9) d. is parallel to the .x-axis e. is perpendicular to the line (x, y, z) = (1, 0, 5) + (-3, 4, -6) f. is perpendicular to the plane determined by the points A(4, 2, 1), 4 2), and C(-3, 2, 1) nd 59 nsv of -3 of the plane that
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x₁ +4x2 + 8x3 = 16 - 12x₁-12x₂-24x3 = - 48 - 6x₂ + 12x3 = 12 X₁ Describe the solution set, x= x₂ 4 X3 4x₁ + 4x2 + 8x3 = 0 - 12x₁-12x₂ - 24x3 = 0 - 6x₂ + 12x3 = 0 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.)

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