Example a. Find a vector equation and parametric equations of the line in R3 that passes through the point Po(1, 2, -3) and is parallel to the vector v = (4, -5, 1). b. Use the vector equation obtained in part (b) to find two points on the line that are different from Po ash (Canada) moyen nam R&H Management Notes 19 DO DO 00 Q

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point…

A: The Parametric equations of the line are the components of the vector equation , and have the form…

Q: Draw arrows representing: (8, 12), (-6,4), (2, -12), (4, 10) 12 10 10 12 8- 10- 12- 14

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: What do coordinates mean?

A: Coordinates are set of points that defines exact position of a point in XY-plane.

Q: ã = (–3, −5) and 7 = (1,4). Represent a + b using the parallelogram method.

A: Use parallelogram method of vector addition.

Q: Convert into rectangular coordinates. (2,-) 3

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Q: The points A, B and C have coordinates (3, -2, 4), (5, 4, 0) and (11, 6, -4) respectively. Find the…

A: The equation of the line l is r=8-32+λ13-2. We need to verify if the point: C11, 6, -4 is on the…

Q: 1) Find the vector and parametric equation of the line in R³ through the point P = (1, 2,-4) 5…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Which of the follow is the direction vector of the line 7=(2, 1, 3) + t(-7, 1, 6) (7, 1, 6) O(-7, 1,…

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Q: Triangle ABC has coordinates A(2,0), B (-1,5), and C (4,3). Determine the coordinates of the…

A: Let us consider a triangle ABC with vertices A,B,C. Now, transforming the vertices along with the…

Q: 1 Determine a vector equation of the line passing through the points A(-2, 0, 0), and B(0, 1, –3). *…

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Q: If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i),…

A: To find the value of (a), we need to ensure that the position vector of point A, (ai + bj), lies on…

Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: Given vector (-2,6) and a point (3,2) a. Write a vector equation  b. Write the vector equation as…

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Q: perpendicular to (x, y, z) = (1, -2,0) + r(1, -1, 1) through P(1, 3,5) [parametric equations]

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Q: Your answer is correct. Suppose that vi - (2.4, 0, 7), v2 - (6,-3. 8. 3) and va - (-4,0,4, 5). Is…

A: The solution is given as

Q: What is the shortest distance d from the line L₁ defined by the vector equation to the line L₂…

A: Consider 2 lines in vector form as: v1 = a1 + c * b v2 = a2 + d * b here, c and d are the constants.…

Q: Solve the equation Ax = p, or show that the equation is inconsistent. Write your solution in…

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Q: Consider the line passing through the points (2, -3,4) and (5,10, -12). Describe the line by a.…

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Q: Plot the points in same three-dimensional coordinate system and determine whether u and v are…

A: The graph is shown below:

Q: Find the vector equation of the line that goes through the point (18, 11, 20) and is perpendicular…

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Q: Explain how to find a vector in the direction of the line segment from Po (*o.Yo-z0) to P:…

A: We will find the vector in the direction of the given line segment.Below find the solution in the…

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: (a) A road in the direction of the vector (4,3) leads from a guesthouse that is based at the origin.…

A: (a) A road in the direction of the vector (4,3) leads from guesthouse that is based at the origin.…

Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

A: