2 P (3,0,-2), d = |5

Q: Consider the points A=(2,7,-4) and B=(4,5,7) in R3, one way to write the parametric equation of the…

A: Given :- Consider the points A = (2, 7, - 4) and B = (4, 5, 7) in R³, To find:- one way to write the…

Q: Find a parametric representation of the solution set of the linear equation.3x − 1/2y = 9

A: Given equation is Where x and y are unknown.

Q: (c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point.…

A:

Q: a line is parallel to the vector 2i +7j+7k and passes through the point P = (7, 10, 3), then the…

A: Given query is to find indicated line.

Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. - 1 - 4…

A:

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: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: Write the line through p=(5,2,2) in the direction of v¯=⟨3,5,0⟩ in vector parametric form: L(t) =…

A: We know that the equation of line passing through the point P in the direction of v→ is…

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 solution for the intersection of the following two planes (if it exists). Otherwise show…

A: As per the question we are given two plants as : x - y + 2z = -13 -2x + 2y - 2z = 26 And we have to…

Q: Write the equation of the line passing through P with direction vector d in vector form and…

A:

Q: Find a parametric representation of the solution set of the linear equation.2x − 4y = 0

A: To find the parametric representation of the solution set, solve the given equation for the value of…

Q: a line is parallel to the vector 2i + 7j+ 8k and passes through the point P = (3,6, 6), then the…

A: Given query is to find the equation of the line.

Q: Find the eigenvalues and eigenvectors of A geometrically.

A: Given,   Find the eigenvalues and eigenvectors of A,   where   A=162512251225925

Q: Write the line L(t) through p = (5,-5,0) in the direction of v = (0,-3,3) in vector parametric form

A:

Q: If a line is parallel to the vector 4i + 1j+ 4k and passes through the point P = (3,7,9), then the…

A:

Q: d) A scalar equation of a line that goes through T(2, -5) and is perpendicular to the line 3x - 6y =…

A: The given line is: 3x-6y=5⇒6y=3x-5⇒y=3x-56⇒y=12x-56 which has a slope m=12.

Q: Find the equation for the line passing through P = (2, -2, 1) and perpendicular to the plane -x + y…

A:

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: If a line is parallel to the vector 4i + 10j + 7k and passes through the point P = (7,7,4), then the…

A: Solution

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: 5) Write the equation of the line through the points P(1,3,7) and Q(2,5,11) in: a) Vector form b)…

A: topic - equation of line through two points

Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

A:

Q: give the equation of the line in vector form, parametric form and symmetric form. k) The line…

A:

Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. 2 b = -7…

A:

Q: Find the parametric and symmetric equations for the lines with the following conditions. (a) Passing…

A:

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

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

Q: If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the…

A: Given that a line is parallel to the vector 6i+7j+2k and passes through the point P=5, 1, 7. We know…

Q: If a line is parallel to the vector 3i + 2j + 1k and passes through the point P = (1,3, 8), then the…

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: Plot a 3D graph if the values of t were (t-0.01:0.1:30*pi), and the three vectors of x = cos(t), y =…

A: In matlab use the given below t=[0.01,0.1,30*pi] X=cos(t); Y=sin(t); Z=t.^3; Plot(t,X,t,Y,t,Z)…

Q: ..... Q4): A: Find the equation of the plane passing through the point p(2, –1,-1) and parallel to…

A:

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

A:

Q: Find parametric equations for the lines in Exercises 1–4. 1. The line through the origin parallel to…

A: Hey, since there are multiple questions posted, we will answer the first two questions. If you want…

Q: Which of the following is the vector equation of a plane that contains the line x-3y+2 2-1 5 -23 and…

A: We know r→ = a→+s→+t→ From the equation of line, we get a→ = 3i^-2j^+k^ or we can write it as 3, -2,…

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

A:

Q: 1 6. Let L be the line with vector equation +t and let II be the -4 3 plane with equation 3x – 4y +…

A: Given:     Plane with equation π = 3x - 4y + z = 18        Line with vector equation L is…

Q: p:X=[2-t,1+2t,3] q:X=[t,-1+4t,1+21]

A:

Q: If a line is parallel to the vector 7i +9j + 9k and passes through the point P = (10,4, 1), then the…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Lines and Line Segments

A: Note : As you did not mentioned on which part you want help, so we only allowed to help you on first…

Q: Find a vector equation for the line through the point P = (4, -2, -4) and parallel to the vector vv…

A: P= (4,-2,-4) is a point on the line.  And the line is parallel to v=(4,-1,4)  v is the velocity…

Q: 5. Given the points P= (2,-4,-1) and Q= (5,-4,2) in space. A) Find the parametric equations of the…

A:

Q: Find the parametric equation of line that passes throught the point (1,-2,4) and is parallel to the…

A: The given point is (1, -2, 4) and parallel to the vector v=[2, 4, -4].

Q: If a line is parallel to the vector 7i + 5j+ 5k and passes through the point P=(4,3,5), then the…

A: To find the parametric equation of the line:Given line is parallel to the vector 7i+5j+5kSo, a=7,…

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.…

A:

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

A:

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.