Q1: Find the vector equation, parametric equations, symmetric equations for the line that pass through the point (2,4, -3) and parallel to the vector 3i – 2j + 5k

Q: Find equations for the planes The plane through A(1, -2, 1) perpendicular to the vector from the…

A: The normal vector of the plane is given by A(1,-2,1)  The point of passing is (0,0,0). The equation…

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: Find parametric equations for the line described below. The line through the point P(-3, -4, -2)…

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Q: How would I solve this? Find an equation of the plane that passes through the given point and is…

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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: 3. Determine the vector equation for the line with symmetric equations*=3+22=1

A: Given: Symmetric equation of line: x-34=y+25=z-13 To find: Vector equation of line.

Q: Find an equation of the plane through the point (2,1,-3) with normal vector 2i-3j+k. Determine the…

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Q: Ps Fnd Parametric equations for the 3. lines through (2,3,0) Perpendliculerr to the Vector uiitzj+3k…

A: First take cross product ie normal vector And then use formula

Q: 10. Find the vector equation of a line whose symmetric equations are x-1 y + 3 z- 1 %3D %3D 3…

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

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

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

A: Parametric and vector equation of line

Q: 2. Start with the vector -(2, 1) a) Rotate the vector 55° counterclockwise and sketch the resulting…

A: Topic = vector

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

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Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1). Find a vector equation,…

A: Solve the following

Q: 8. Determine a vector equation for the plane with Cartesian equation: 2x -y + 3z-24 = 0

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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: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

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

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Q: Find both the vector equation and the parametric equations of the line through (3,3,1) that is…

A: If line perpendicular to both lines the direction vector perpendicular to both parallel vectors of…

Q: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

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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: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

A: Given point is (0,4,0) and normal vector is -7i+5j.

Q: Subtracting the two equations, find a vector equation for the curve of 3 intersection between y =…

A: Here, the two equations are y=4x2+34z2  and  y-1=3x2+12z2 for x>0. We will be finding a vector…

Q: Find a parametric equation and symmetric equation of the line that pases through the point (2, -1,3)…

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Q: find a vector equation and parametric equations and symmetric equation containing (a,b,c) parallel…

A: To find the vector equation, parametric equation and symmetric equation containing the point (a,b,c)…

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: Consider the line which passes through (1,-2,-2) and (2,0,1) (a) Write a vector equation, a…

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Q: Find parametric equations for the lines in The line through (2, 3, 0) perpendicular to the vectors u…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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: 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 parametric (or vector) and symmetric equations of the line which pass through the points P,…

A: P11, 4, 6 & P22, -1, 3. Vector equation of a line passing through two points with position…

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

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Q: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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Q: snip1

A: The given point is, P=1,2,-1 which is parallel to the vector d=5-13. The objective is to find the…

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

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Q: A line has parametric equations x = 2 +3t, y = 1 + 2t, z = -6 - t, fort that belongsto the family of…

A: given parametric equation of line  is x=2+3ty=1+2tz=-6-t

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

A: Find a  vector equation and parametric equation for the line joining P and QP (1,-1,5) and Q (5,2,1)

Q: A) find a vector parallel to the line of intersection of the planes -3x - 2y - 2z = -1 and -4x - 2y…

A: Equation of line of intersection

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

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

A: Use equation of parametric line and put value

Q: Find the equation for the plane through the point Po = (8,4,8) and normal to the vector n=2i + 2j +…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.