a + 567 Let W be the set of all vectors of the form Find vectors ui and v in R such that W = span {u, v}. -a

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

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

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

Q: Find each of the following Given: u = ; v = ; w = 1. u.v 2. (u.v)w 3. u.(2v)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let W be the set of all vectors of the form ū = H V = [-5s- 2t] 5s + 3t 5s + t . Find vectors ū and…

A: Let S={u,v} be a linear independent set and generate W . Then W=span{u,v} .

Q: Fill in the blanks with numbers to show that the vector is a linear combination of the ---

A:

Q: 5s + 31 Let W be the set of all vectors of the form 2s+t Find vectors i and i in R such that W =…

A:

Q: 1 2 -5 A = 0 1 4 1 -3 -7 11 11 Find a pair of vectors u, v in R4 that span the set of all ER that…

A:

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

A:

Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

A: I am attaching image so that you understand each and every step.

Q: The vector -3 (GIE) -1 -4 0 -7 vectors -3 2 belongs to the span of the 5 Select one: O True O False

A: Given: W=span-3-10, -1-4-7. To check v=-325∈W.

Q: Determine whether the vectors ?→ = (2,−1,3), ? → = (1,1,−2), and ? → = (3,−1,5) span ℝ?. If not find…

A: Span: Let us consider the set of  vectors S={v1,v2,v3,......vn} in a vector space V is said to be…

Q: Let X and Y be points in R³. Let P be a point on the line segment joining X and Y such that the…

A:

Q: Determine whether the set of vectors Q={(-1,1,1).(-1,0,2).(1,2,3)} spans R'.

A:

Q: Let v = (7,8). Suppose w E R2 is perpendicular to v, and that ||w|| = 9. Find both possible vectors…

A:

Q: show that the vectors V₁ = (2,0,- 2, 1) > V₂ = (3,1, -5,0) and V3=(2, 2, -6, -2) form Linearly…

A:

Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

A:

Q: Let the following vectors be in R³ a = (1,3,-1) b = (-2,1,3) c = (3,2,1) d= (1,-1,2) 12- Find the…

A: