Let V = {u, v, w} where u = (5, -1, 1), v = (3,5,-5). Find that would make a DEPENDENT set of vectors (w must be different from u ar Then find that would make an INDEPENDENT set of vectors.

Q: show that the vectors: 2,3), II

A: To prove that the vectors:     v1=(1, 2, 3), v2=(-2, 1, 1), and v3=8, 6, 10 in ℝ3  are linear…

Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

Q: Let w= (-1,4,15), v = (1, 2, 8), v = (3, 0,1). Does w belong to span(v,,v,)? If yes, then write the…

A: We will find out the required solution.

Q: Find the vector in R³ from point A = (–4, 7, 6) to B = (–8, –5, 7). AB: =

A:

Q: Find the cross products of vectors: u=(0,-4,2) and v=(-3,2,6). Find the area of the parallelogram…

A:

Q: If u=(24,-32), then the set of all vectors orthogonal to u is O {(32k , 24K) | ke R} {(32, 24), (-32…

A: To find the set of all vectors orthogonal to u=<24,-32>.

Q: use the vectors u = , v = , and w = a) Find which pair(s) of vectors from that set is/are…

A: We have to check

Q: Let the following vectors be in R³ a = (1,3,-1) b= (-2,1,3) c = (3,2,1) d = (1,-1,2) 15.- Find the…

A: Introduction: Vector Operations are operations that are performed on vector quantities. Vector…

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Find four different nonzero vectors that are orthogonal to v = (-1,5,2)

A: This is a simple problem based on orthogonal vector which could be solved by using basic knowledge…

Q: True or false, justify your answer The vectors v1 =(2,1), v2 =(1,2) and v3= (5,7) are independent.

A:

Q: ● Let A = (1.-2,4), B (0,3,2), C (-1,4,-2) be three points in R. Find the vectors u-AB and v-AC.

A: Let A=(1, -2,4), B=(0,3,2), C=(-1,4,-2) be three points in R3. We have to find the vectors u and v.

Q: please solve it q5,b

A: 5,3,-1Explanation:Step 1:For linear dependency it should satisfy u=C1​v1​+C2​v2​+C3​v3​:      Step…

Q: Determine by inspection the linearly independent vectors !! O a. O b. O C. с. -8 12 4 -2 2 5112]…

A: To determine by inspection the linearly independent vectors.a -812-4, 2-3-1, 000b 51, 28c 4-26, 6-39…

Q: determine if the following pair of vectors is linearly dependent or linearly independent. show all…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the vectors u = (-5, -9, 3) and v = (1, -9, 3). Determine u x v. A) (0, 19, 54) B) (0, 18,…

A:

Q: Let S be the set of vectors in R4 (S = {V1, V2, V3, V4, V5}) where, V1 = (1,2, −2, −1) v₂ = (-3, 0,…

A:

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

A: