Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (4, -9, 2) and parallel to the vector 1, 5, -

Q: A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see…

A: --------------------------------------- Wind velocity: velocity: 50mphDirection: 30° with…

Q: Show all steps carefully! Given two points A(1,1,1) and B(-7,9,2)find: a) The vector equation for…

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Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing thro…

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Q: (a) Find all the three forms of equations for the line that passes through the points A(3,-2,0) and…

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

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Q: find an equation for the line through P parallel to v. Then sketch the line. Include v in your…

A: Given :                   P(0,-2)  and v = 2 i + 3 j

Q: Give the equation of the line in vector form, parametric form and symmetric form. The line through…

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Q: Which of the following points (given by Let / be the line through the point with coordinates…

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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: Please answer the following question Find the vector equation of a line L going through the points…

A: Determine the direction vector m for the line L going through the points (-3,-1) and (-4,3).…

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: c) The vector from the origin to the point A is given as (6, -2, -4), and the unit vector directed…

A: This is complicated problem.So I can do it in Advanced Mathematics.

Q: d = (-3, –2) and 5 = (2,4). Represent ä – b using the head-to-tail method. Use the Vector tool to…

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Q: Find a vector equation and parametric equations for the line that passes through the point (2,1,-3)…

A: We have to find out

Q: Find the parametric equations of the line through the point P(1, 2, 4) and parallel to the vector .

A: use the parametric form  of line .

Q: Find the parametric equation of the line that passes through the point P(2,4, –2) and is parallel to…

A: Parametric equation of line that passes through the point P(x0, y0, z0)& parallel to vector a =…

Q: find an equation for the line through P perpendicular to v. Then draw a sketch of the​ line,…

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Q: Find the component form and the magnitude of the vector v. component form V = magnitude y -4 -2 (-3,…

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Q: A line has y-intercept 11 and z-intercept -13. Find a vector equation of the line.

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: find an equationfor the line through P perpendicular to v. Then sketch the line. Includev in your…

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Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

A: Given vector equation :

Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: Ier. 3. Find the equation of the line through the point (0, 1, 4) and perpendicular to both the…

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Q: For the line through P(2, – 1) and Q( – 1, 5 ), determine each of the following :  a) Vector…

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Q: The path of a particle is moving in the plane with position vector . What is the speed of the…

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Q: Find the vector parametric equations for the line. in the direction of the vector 57-5-k and through…

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

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Q: (a) Write the vector or parametric equations of the line through the point (2,0, 3) and…

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Q: Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (3, -2) and arrived…

A: Scalar product

Q: Find the equation of the line that goes through the point (1,3, 2) and is parallel to the line (3t –…

A: The given line equation in parametric form is x=-2+3t y=1+2t z=4+t The direction ratio is…

Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

A: Given, P -4,-1, Q 3,-5 The vector v from the point P to the point Q can be represented as: The…

Q: Solve the following vector problems and parametric equations: a) Find the vector equation and the…

A: Q. Vector eqn of line passing through Prx0,y0,z0      and parallel to x, y , z is          r = Pr +…

Q: Write the line through p = (3, 2, 2) in the direction of v = (-1, –4, 2) in vector parametric form:…

A: We have to write the line trough p=3,2,2 in the direction of v¯=-1,-4,2 in vector parametric form.

Q: A volleyball is hit when it is 4 ft above the groundand 12 ft from a 6-ft-high net. It leaves the…

A: Given information: A volleyball is hit when it is 4 ft above the ground and 12 ft from a 6-ft-high…

Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

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Q: If a line is parallel to the vector 8i + 5j+3k and passes through the point P = (6,2, 4), then the…

A: The line which is parallel to the vector  ai + bj + ck and passes through (x1 , y1 , z1) has the…

Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: find the component form of the vector. The vector OP where O is the origin and P is the midpoint of…

A: Given points are R = (2, -1) and S = (-4, 3).First find midpoint P by using midpoint formula as…

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A: Given the point P=(-4,4) and the direction vector d=11We need to find the equation of line passing…

Q: Find the vector equation of a line ?L going through the points(−3,−1) and (−4,3).

A: we know that vector equation of line which passes through two points a→,b→ is given by r→=a→+tb→-a→

Q: nd he position vector in the form of xr+ yr for the vector that starts at the point (-1, 2), ends at…

A: Given query is to find the vector ,it's magnitude and direction.

Q: Q1: Find the vector equation, parametric equations, symmetric equations for the line that pass…

A: We need to find the vector equation parametric equation and the symmetric equations for that line.…

Q: Find the component form and the magnitude of the vector v. Initial Point Terminal Point (-4, 6) (17,…

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Q: Example 1: Find the vector, parametric, and symmetric equations for the line through the point (1,…

A: To find the vector, parametric, and symmetric equations for the line through the point 1, 0, -3 and…

Q: Find parametric equations for the line whose vector equation is given. (а) («, у) %3D (3, —3) + t(1,…

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

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Q: 3. Determine the vector equation for the line with symmetric equations X-3.922.231.

A: Compare the given equation with x-x1a=y-y1b=z-z1c so, we get the values x1=3y1=-2z1=1a=4b=5c=3

Q: (6) Show that the vector equations r = -2i + j+ t(-į+ 5j) and r = -3i + 6j + s(-3i + 15j) | | refer…

A: The vector equation of a line is r⇀=a⇀+λb⇀. Where a⇀ and b⇀ represent the position vector and…

Q: The position vectors of :the points A andB are OA = 21 +j - 4k „OB = -21 + 4j- 2k. A vector.equation…

A: Given vector are OA= 2i+j-4k OB= -2i +4j-2k

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.