A vector equation for the line 2 a+12 y- 8 z = 78 L: -6 a + 8 y+ 2 z = 8 is given by 4 r ER -1 -5 金 3 5 +r| 3 r ER -5 () -3 1. r eR 5. 4 +r| 2 r ER 1 -2 +r r ER None of the other options.

Q: 9. What are the coordinates of A' after AB is translated by the rule (x, y) → (x + 5, y – 2)? A 4- 3…

A: As per our guidelines I am solving only first problem please repost other question.  9. A' after AB…

Q: Which of the following is the line that passes through (7,7) and is parallel to -4x-9y=-37…

A: The slopes of parallel lines are equal. We first write the given equation of line in slope intercept…

Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: 7. (а) X1 3x2 = 1 2x1 - 6х, — 2 | %3D

A: The solution is given as

Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes.

A:

Q: Suppose the equation ax + by = c corresponds to the vector (a, b, c). To what equation will…

A: Given that:The equation ax+by=c corresponds to the vector ⟨a,b,c⟩. (1).The given vector is:…

Q: Suppose the polynomial ax² + bx + c corresponds to the vector (a, b, c). 2 To what polynomial will…

A: ConclusionIn the context of the given problem, where vectors correspond to the coefficients of a…

Q: Which of the following Is a direction vector for the line through A(5, -3) and B(-1, 2)? Select one:…

A: For the direction vector, we just find out the direction of the given point.

Q: The contrasts (-3, 1 1 1) and (0, 0 , -1, 1) are orthogonal? Is it True or False?

A: Orthogonal contrasts: A set of contrasts in which, for any distinct pair, the sum of the…

Q: The standard form of the equation of a line going through (3, -3) and (0, 2) is: 5x - 3y + 6 = 0 Oy…

A:

Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 5+ 3x3, x₂…

A: Given,The solution set of a certain system of linear equations can be described as with  free. Aim:…

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.