Verify that {₁,₂} is an orthogonal set, and then find the orthogonal projection of y onto Span {₁,₂}. y= -5 U₁ = 3 0 4₂ 3 To verify that {u₁,u₂} is an orthogonal set, find u₁ U₂. u₁ • U₂ = (Simplify your answer.)

Q: 12. Which line of reflection maps segment AB to segment CD, where the endpoints are A(-4, 2),…

A: We have to find the line of reflection.

Q: X Edit 10. Rectangle GHU wilth verlices G(2.-1), H7.-1), 17.-4), and

A: Graph plotting

Q: Find the projection of u = onto v = .

A:

Q: 3. Let A, B, and C be three distinct collinear points such that AC <AB and BC < JAB. Prove that…

A: Let given points be in order A-B-C. But then AC can never be less than or equals to half of AB.…

Q: Calculate component magnitud avector  P(-3,   4,     1) Q(-5,     2,   2)

A:

Q: What are the coordinates of the point on the directed line segment from (-6, –6) to (-4, 10) that…

A: we have to find point

Q: 8.) Let u = (a, b.c) and v = (4,5,6).If Parallel to (1,0,-1) u is %3D u along L(4,5, 6) then find…

A:

Q: Verify that {u₁,u₂} is an orthogonal set, and then find the orthogonal projection of y onto…

A:

Q: 8) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

A: The k points are coplanar then we say k points are lie in the same plane.

Q: What is the geometric object in 3-space represented by the equation (x + y +z)^2 = 0 Choose: 1.…

A:

Q: 6. Let S be the triangle with vertices (4.2, 1.2, 4), (6, 4, 2), and (2,2, 6). Find the image of S…

A: For the vector (x, y, z); the homogeneous representation is   , where . The vector entries can be…

Q: Let a = (5,2,-5) Find the projection projā b =< and 6 = (-5, -3,2). of b onto a.

A: Given: a⇀=5,2,-5 and b⇀=-5,-3,2.We need to find the projection of b⇀ onto a⇀.

Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

A:

Q: 4) Let a = (-3, 0, -4) and 5 = (-3, 3, 1). Find the projection of b onto a.

A:

Q: 5) Again let Universe U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S = {0, 1, 2}, T = {1,4}, R = {2, 4,…

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Q: 6- Check if each of the following is orthogonal or not: i- A = ii - A = 1 1 [1 iii - A = 1

A:

Q: 6+ 5- 4 نیا 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6+ The point symmetric across the x-axis is ( The…

A: We will find the point symmetric across  x-axis, y-axis, origin.

Q: If the pre-image point is A (1, -5) that follows the rule (-y, a+ 2) then what is the ordered pair…

A:

Q: Find an equation of the plane that passes through the points (4, 3, 3), (2, 2, –2), and (-5, 3, 2).…

A:

Q: Suppose that a parallelogram is bounded at one vertex by the vectors i = |,3 = ,: Find the area of…

A: Area of parallelogram =|u×v| ,where u and v are the vectors which represent the side of…

Q: erify that (u,,u2} is an orthogonal set, and then find the orthogonal projection of y onto Span…

A:

Q: Table 24. Multiplication of X = 321 and Y=512. 321 512

A: Given that X=321 and Y=512 The objective is to find the multiplication for X,Y. X×Y=321×512 Now,…

Q: Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. We only know that…

A: In linear algebra if set A .

Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

A:

Q: 8. There are 5 points on a plane, no three of which are collinear. How many different lines can be…

A:

Q: Match each (r, 8) given to one of the points A, B, C, or D shown. Exercise 27-36 号_t_智 2 12

A: We are given with the polar coordinate graph and need to match the point