Let y = and u = Let L be the line spanned by u. Write y as the sum of two orthogonal vectors, YL in L and YL- in L-. YL YL! =

Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: If x is an n-vector, show that x + 0 = x.

A: Given, If x is an n-vector.

Q: as a linear combination of x = 7 4 and y = -3 Express the vector u -2

A: NOTE: Refresh your page if you can't see any equations. . write both vectors x and y in the matrix…

Q: 18 as a linear combination of a and y Express the vector v y.

A:

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

A:

Q: ri If the vector 2i – 6j is perpendicular to the vector 2 + 5j in R2, what is r?

A:

Q: Find a vector orthogonal to the line x+y=1

A:

Q: 2 3. Show that that the vector u = -5 is a linear combination of the vectors v1 3 2 ------ 2 U2 = -4…

A:

Q: Find a vector in the plane parallel to the line ax + by = c.

A: We know that, Slope of parallel lines are equal Given equation of line is ax + by = c Slope of this…

Q: Let y = *₁ = 0 and ū= 6 . Write y as the sum of two orthogonal vectors, ₁ in Span{u} and 2…

A: Given that the vectors  y→=0-1-2   and  u→=56-1   .

Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: Let j TE 2 --- = 1 and u = = Write y as the sum of two orthogonal vectors, #₁ in Span{u} and 2…

A:

Q: Given u, v and w from question 3, find (a) the angle between u and w,

A: u = (4,0,-2) and w = (2,1,6)

Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.

Q: Q5. Express the vector w = (1,0, −7) as a linear combination of the vectors v1=(5, 3, 4) and v2=(3,…

A:

Q: Find two linearly independent vectors perpendicular to the vector 15 "I G.

A:

Q: 2.18 Consider the following linear recurrence over Z₂ of degree four: Zi+4 = (Zi+Zi+1 + Zi+2 +Zi+3)…

A: Given Data: To determine the period of the resulting keystream.

Q: A2. Express v = (1,-2,5) in R as a linear combination of the vectors u; (1, 1, 1), %3D uz = (1,2, 3)…

A: