Verify that {uq.u2} is an orthogonal set, and then find the orthogonal projection of y onto Span(u,,u2} 7 -2 5 ,u, 2 u2 = -5 ... To verify that (u,,u2} is an orthogonal set, find u, • u2. ] (Simplify your answer.) The projection of y onto Span(u, ,u2} is (Simplify your answers.)

Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: Let 2 v = w = and 0 = 3 Which of the following sets are linearly dependent? Select all that apply.…

A: Solution:Given vectors are      v→=203     ,  w→=111   ,  0→=000

Q: 3. Determine if the sets of vectors given are LI or LD and explain how you know. a) {(3,4),…

A: Here we apply theorems from linearalgebra.

Q: Find the angle between u = (2,3,1), and v = (-3,2,0)

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Q: how that the point (1,0,-1) is the centre of the sphere passing through…

A: Let O=(1,0,-1), A=(1,8,-8) B=(-9,0,5) C=(7,-8,-1) D=(-7,0,7) It is enough to show that…

Q: The projection of the point (2, -3, 1) on the yz- plane is Select one: O (0, -3,1) ○ (2,0,1) O (2,…

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

A:

Q: Let / be the line through the point with coordinates (1,-1,0) in the direction of the vector…

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: A triangle has vertices at A (1, 6), B (-4,1), and C (0, -2). What are the coordinates of each…

A: Given: Vertices of triangle are: A = ( 1 , 6 ) B = ( -4 , 1 ) C = ( 0 , -2 ) To find: Co-ordinates…

Q: Find a vector a with representation given by the directed line segment AB. A(5, 4), B(0, 8)

A: We have to find a vector a with representation given by the directed line segment AB.

Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

Q: Let A be the point with coordinates (7, 5, 3) and let B be the point with coordinates (6, 5, 4). Let…

A: We will use the basic knowledge of coordinate geometry to answer this question completely and…

Q: Prove that three points P(5,-4), Q(-3,8) and R(1,2) on the rectangular coordinate plane are…

A:

Q: Suppose that v1 = (5, 2, 0, 3), v2 = (2, -2, 8, 2) and v3 = (-6, 0, 5, 4). Is the following vector…

A:

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

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Q: A plane through the three points P = (4, -3, 5), Q = (-2, -3, 5), and R= (-2, 3, -3) is described by…

A:

Q: What are the coordinates of the point on the directed line segment from (-9, –1) to (-9, –10) that…

A:

Q: Let /be the line through the point with coordinates (2,-1,0) in the direction of the vector G) 1…

A:

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

Q: 5 3 -2 -3 w = -3 |; A= 4 -5 2 2 -5 4 -1 . Determine if vector w is in Nul(A)

A: