Find a vector equation and parametric equations for the Iline. (Use the parameter t.) (1.2.-3) The line through the point (6, -7, 6) and parallel to the vector (1, 3, - r(t) (x(t), y(t), z(t))

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

A: Proceed as shown below...

Q: Give a vector parametric equation for the line through the point (3, 1) that is perpendicular to the…

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Q: Find parametric equations for the line described below. The line through the point P(-1, -1, 5)…

A: Question 17 In general, we know that the equation of the line passing through the point (x1, y1, z1)…

Q: (A) Find the parametric equations for the line through the point P = (-4, -3, -5) that is…

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Q: A) Find the parametric equations for the line through the point P = (3.-5, 1) that is perpendicular…

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Q: ) Find the parametric equations for the line through the point P = (-2, 5, -3) that is perpendicular…

A: topic - equation of a line through given point and perpendicular to a plane

Q: Find a vector parametric equation r(t)|for the line through the points P = (-3, –2)|and Q = (-5,…

A: According to the problem, we have

Q: 1.Find the vector equation and parametric equations of the line passing through the point P(5, 6, 7)…

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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: (A) Find the parametric equations for the line through the point P = (-5, 0, -3) that is…

A: Equation of line.

Q: Give a vector parametric equation for the line through the point (3,4,−2) that is parallel to the…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, -1, 4),…

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Q: Find both the parametric and vector equation of the line segment between (−2, 3) and (5, −1) where 0…

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Q: (a) Find a vector parallel to the line of intersection of the planes 4x + 3y – 2z = -5 and -5x + y –…

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Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: This question can be solved using the concept of tangent and normal under application of…

Q: (a) Determine the vector and parametric equations of the line containing points E (-1, 5) and F (6,…

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Q: Find the vector equation and parametric equations of the line passing through the point P(5, 6, 7)…

A: Given problem :

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 both the vector equation and the parametric equations of the line through (-3,3,7) and (3, -…

A: Consider the points <-3,3,7> and <3,-1,0>. The vector equation and the parametric…

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 both the vector equation and the parametric equations of the line through (0,0,0) and (5,2,4),…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, -1, 6),…

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

A: Here we find the vector and parametric equations of line.

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

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Q: Find parametric equations for the line through the point, that is parallel to the given plane, and…

A: given point 0,2,2 given plane x+y+z=3 given line x=1+t,y=2-t,z=2t

Q: Find the vector and parametric equations for the line through the point P(-2, 4, -3) and parallel to…

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

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Q: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

A: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

Q: Find the parametric equations for the line through the point P=(-5,4,-1) that is perpendicular to…

A: The equation of the plane is given by 2x-y-5z=0. The directional cosine of the normal to this plane…

Q: Write vector and parametric equations of the line. a) parallel to the line x+6y = 1 and through the…

A: We know that the line equation of the line that passes through point (ro→), and parallel to vector…

Q: Give a vector parametric equation for the line through the point (1,2) that is perpendicular to the…

A: Here ,       given line -3-3t,3-2t    we gave to find the vector parametric equation for the line…

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: The vector and parametric equation of a line passing through given point and parallel to given…

Q: b) Find parametric equations of the plane (P) containing the point P(1,-2, 0) and the vectors û and…

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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: If x = 1- 2t and y = 1+t denotes the parametric equation of a line in 2D , then (-2,1) is a) A point…

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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: (a) Find a vector parallel to the line of intersection of the planes 4x – y – 3z = 6 and -5x + 4y –…

A: According to question given thatplanes equation 4x-y-3z=6-5x+4y-4z=3

Q: Find parametric equations for the line described below. The line through the point P(2, 3, 3)…

A: To find the parameter equation of the line passing through point P(2, 3, 3) parallel to the vector…

Q: (a) What is the slope of the line with vector equation r(t) =    −7 + 2t, 4 + 7t   ?(b)…

A: Hi there! As you have uploaded multiple questions without specifying which one to answer, we are…

Q: Q. Find parametric equation of the line perpendicular to the lines l1: x = 1- 1, y=t, 12 : z = 2t –1…

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Q: Find a parametric equations for the line segment that joins P to Q P(1, -1, 5), Q(5, 6, 1) vector…

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Q: Find the distance of the point (2, 6, –4) from the line r(t) = (-1 + 31, –1+41, 5 – 2t). Give a…

A: Consider the given point as, 2,6,-4  And the line -1+3t,-1+4t,5-2t

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

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Q: Q2 What are the parametric equations for the line through the point (6,-3,1) that is orthogonal to…

A: We have to find the equation of parametric line

Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

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Q: Find a vector parallel to the line defined by the parametric equations x(t) - 3 – 9t y(t) 2 + 7t…

A: Need to find parallel vector and point on the line

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (2,3,-1)…

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Q: Find the requested equations below Parametric equations of the line that contains the point P(3, 4,…

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