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: 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: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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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: Let P be the point (-1,0, 2). Consider the plane that goes through the points A = B= (1, -3, 3), and…

A: First of all let us find out the equation of a plane passing through the points…

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: DONT USE AI 4. Consider the line I that passes through the points P(2,0,10) and Q(8,4,9). Answer…

A: Given that the  given line I  is  passes through  the points P  and .(a)  We  have  to  find the…

Q: 3 aj = 4 a2 = 9 az = -3 b = 2 Determine if vector b is a linear combination of a1, a2, and a3. Show…

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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: 5. A line is defined by the parametric equations x = -2 – t, and y = 4+ 2t, te R (a) Does the point…

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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: 1. (a) Find uxv and show that it is orthogonal to both u and v u = v = (b)The vertices of a…

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Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).