5 (X3, Y3» Z3) 3 -2 2 3 (X3, Y2 2) (x1, Y1, 71) 4-

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Whereas a sphere is inscribed in a straight circular cylinder. The sphere is cut by any two planes…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: A 500-lb load hangs from three cables of equal length that are anchored at the points (-2,0,0),…

A: It is given that a load of 500-lb is hanged from three cables of equal lengths that are anchored at…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, -2, -2), (2, 3, 4) is < 2, – 10, 6…

A:

Q: Points to choose from: A(1, -6, 8), B(3, 2, 1), C(-4, 10, -7), D(5, 7, -2), E(-1, -8, 7) 1. Choose…

A:

Q: Let(vector u)=(-2,-3), (vector v=(-3,-5) and vector w=(-2,-3). Find the vector x that satisfies…

A: u=(-2,-3)v=(-3,-5)w=(-2,-3)Calculating x:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Use the graph to find the projection of u onto v. (The terminal points of the vectors in standard…

A: Let's find projection of u onto v.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: We know that vector equation of line passing through two points r¯=a¯+λ(b-a) Here a and b are…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: In a 4-D Euclidean plane, vectoru = (a, b, c, d). In a 3-D space, vector v = (2,7,c). What is u + v?…

A: Given :  Vector u = &lt;a, b, c, d&gt;  Vector v = &lt;2, 7, c&gt;     To find the vector u + v.

Q: prove using vectors that the points (0),2 -2- (B2,0, -2, C, (2,2-,10) represent the vertices of a…

A: We have to check weather the given points are Vertices of Traingle or not.  After that we have to…

Q: Find the equation of the plane that is parallel to the vectors 3,0,1 and 0,1,2​, passing through the…

A:

Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given- If L is a line in 2-space or 3-space that passes through the points A and B, then the…

Q: Use the fact that the volume of a tetrahedron with adjacent edges giver 1 by the vectors u, v and w…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: (a) is spanned by the vectors 10 Determine whether the vector v = --()-- [] and or not. 8 (a)…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: To find out the distance from the point P to the line through A and B.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Solve

Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

A:

Q: The cross product of vectors a = (-1, 4, 6) and b = (3, 0, -2) is %3D

A: The cross product of vectors is given below

Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Use the graph to determine mentally the projection of u onto v. (The coordinates of the terminal…

A: Solve the following

Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and =…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: We have to find Distance.

Q: ppose u = (-2, –1) and v = (-3,–9) are two vectors that form the sides of a parallelogram. Then the…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Determine which vectors that are orthogonal to (– 3, -6)? (-4,2) and (-1,3) (-10, 5) and (-3, 6) a.…

A: To determine the vectors which are orthogonal to -3,-6. (a) Given vectors are -4,2 and -1,3. We know…

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A:

Q: (2, -3 ,1),(2, -3 ,5) Express the space stretched by the vectors with cartesian equations.

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0,0, –2), (2,3, 4) is О О O 6,-10, 3>…

A: Let, Given vectors are P(-1,0,0), Q(0,0,-2) and R(2,3,4). We have to find non zero vector orthogonal…

Q: 8

A: Given vector is v→=8-7-5 We have been asked to find two linearly independent vectors that are…

Q: For the vectors u = (-2,2, -1) and v (-2,1, 3), expressu as the sum u =p n, where p is parallel to v…

A: To find the orthogonal decomposition of the vector u along and perpendicular to v

Q: Vectors to choose from: u = (-2, -12, 4), v = (3, -2, 1), w = (8, 12, -4), p = (-3, 9, -3), à = (4,…

A: The given vectors are: u→=-2,-12,4, v→=3,-2,1, w→=8,12,-4, p→=-3,9,-3, q→=4,5,-2 Find the two…

Q: Cross-product of vectors   ⟨2,−1,3⟩×2⟨4,2,1⟩=?

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 0, -2), (2, 3, 4) is

A: We will solve the problem

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Use vectors to show that the triangle with vertices (-2, 2), (4, 10), and (20, –2) is a right…

A: vector method to find right angle triangle.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Scalar Projection of AP on AB is defined as AP→.AB→AB→

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: Find the volume of the parallelepiped determined by vectors , and

A: Find the volume of the parallelepiped determined by vectors &lt;3,1,4&gt;, &lt;2,0,2&gt; and…

Q: Find unit vector parallel to u = (2, -3, 2)

A: A unit vector a^ parallel to the vector a⇀ is given by, a^=a⇀a⇀ Where a⇀ is the magnitude of the…

Q: Find a nonzero vector parallel to the line of intersection of the two planes 4x-2y+z=-1 and…

A: Answer

Q: Notice that vector v shows a direct path from the initial 6. point (0,0) to the terminal point…

A: See this solution in below

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.