Give a vector parametric equation for the line through the point (4, 0, -5) that is parallel to the line (2t – 5, 2t – 2,3 – t

Q: Find the vector and parametric equations for the line through the point P(2, 2, -2) and orthogonal…

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Q: Find both the vector equation and the parametric equations of the line through (0,0,4) in the…

A: Explanation of the answer is as follows

Q: Find the vector and parametric equations for the line through the point P(4, -2, -4) and parallel to…

A: Find the vector and parametric equations for the linethrough the point P4,-2,4 and parallel to the…

Q: Find a parametrization of the line passing through (2, 0, 4) and (4, 1, 2). r(t) =

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x= 2+3t y…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –6) + t(1,…

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Q: Find parametric equations for the line described below. The line through the point P(1, 1, -2)…

A: we have to find

Q: Find the vector and parametric equations for the line through the point P(-5, -3, -4) and the point…

A: Given: P(-5,-3,-4) and Q(-2,2,-5) To find the vector r(t) and the parametric equations for x(t),…

Q: Find an equation of the plane. the plane through the point (5, 6, 5) and with normal vector 6i + 8j…

A: As we know that the equation of the plane which is passing through a point Px0,y0,z0  and normal…

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: Determine the vector and parametric equations of the plane containing the point (1, -5, 9) and the…

A: Answer

Q: What is the vector parametric equation L(t) for the line through the points (5,-5,0) and (0,-3,3)?

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2+3t y…

A: Given, The parametric equation of the line D passing through A and parallel to vector v is  x =…

Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: Given vectors area. u=2,0,2w=-2,-1,0a=0,0,0 Find the vector equation of the line perpendicular to u…

Q: Determine vector and parametric equations for the line in R that passes through the points A(1,0, 1,…

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: Find the vector and parametric equations for the line through the point P(-5, 3, -1) and the point…

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Q: 5. Find the parametric equations of the line that passes through the point (0, 1, 4)and is…

A: Given two vectors, u=2, -5, 1v=-3, 1, 4 Also, given the point, P=0,1,4 The cross product of u and v…

Q: Find parametric equations for the line through the point P(2, - 5, - 3) parallel to the vector 31 -…

A: topic - equation of a line

Q: Find the vector and parametric equations for the line through the point P(3, 1, 5) and the point…

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Q: Find an scalar equation of the plane containing the line x = 2 – 4t, y = 4 – 5t and z = 5+t and the…

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Q: 1. Find both the vector equation and the parametric equations of the line through (−3​,5​,6​)and…

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Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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Q: Give a vector parametric equation for the line that passes through the point (–2, 1, –2), parallel…

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Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations…

Q: 4. (a) Find a parametric equation and symmetric equation of the line that pases through the point…

A: We have a point P(2,-1,3) and a vector  i^+2j^-3k^ We have to find a parametric equation and…

Q: Find the vector and parametric equations for the line through the point P(-2, 1, -5) and the point…

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Q: Find the scalar equation for the plane passing through the points P-(-1. 5.-1. P=(-1, 6, 5), and…

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Q: Determine the vector, parametric and cartesian (scalar) equations for the line that passes through…

A: First, we will find the cartesian equation of the line L through the points M(-2,0) and N(3,-3).…

Q: 4) a) Find the vector parametric equation of the line in R³ that is perpendicular to the plane 2x -…

A: Given plane is, 2x-3y+7z-4=0

Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

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Q: Find a parametric form for the line through the point (0, –7, -9) and parallel to the vector 6i – 7j…

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Q: Find the parametric equations of the line containing the point (-2,1,2) and parallel to the vector…

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Q: Find the vector and parametric equations for the line through the point P= (3,0, –1) and the point Q…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (2, –5) + t(1,…

A: Parametric equation of the line, <x,y,z>=<a,b,c>+t<p,q,r> , t is a scalar is given…

Q: Give a vector parametric equation for the line through the point (-1, –1) that is perpendicular to…

A: Consider the given parametric equation of line 5+4t,5t−3Find the parametric equation of the line…

Q: Find the vector and parametric equations for the line through the point P(-4, -1, -3) and orthogonal…

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Q: (2t, 1 – t, 4t) is a parametrization of the line passing through the point (0, 1,0) and also…

A: The statement : <2t, 1-t, 4t> is a parametrization of the line passing through the point (0,…

Q: Find the vector and parametric equations for the line through the point P(-1, 3, 4) and the point…

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2+3t…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

A: Let's find.

Q: Give a set of parametric equations for the line L4 that lies tangent to the graph of the vector…

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Q: generate a parametrization of the line through P(2, -4, 7) parallel to v1 = 2i - j + 3k. Then…

A: We know that equation of line through (x1,y1,z1)  and parallel to ai+bj+ck is

Q: Find parametric equations for the line whose vector equation is (a) (x, y) = (3, –5) + t(1, –2) X =…

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Q: 47. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: We’ll answer the 47th question since we answer only one question at a time. Please submit a new…

Q: 22. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: Find a vector equation and parametric equations in t for the line through the point and parallel to…

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: The line L is parallel to the plane x+y+z=2 and is perpendicular to the vector (-1,1,–2). If the…

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.