Suppose you are given the set A={u =(0,1,2),v=(-1,0,0)}. Describe how you would combine A with a suitable vector from the set B={z=(-5,2,4),w=(0,2,2), s =(3,3,6)} to obtain a generating set for R³. Your answer should contain the following (according to order): the proof that u and v are linearly independent the reason why 4 cannot gener erate R3 bz itself

Q: is the sum of 2 vectors with components and . What is a?

A: To find the value of a, you can use the properties of vector addition.Given that the sum of the…

Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

A:

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: Find a vector orthogonal to both and . Include a step by step solution please

A:

Q: Let m = (-3,1,5) and n = (5,-1,2). calculate the vector p = n - ((m*n)/(m*m))*m.

A: here we get p=0

Q: 1] Determine whether the first vector is a linear combination of the other vectors. (c) (-1, 15);…

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Q: What if the vector v was [ 7, 11, 3]

A:

Q: There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the…

A:

Q: Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the…

A:

Q: Determine whether the vectors (1,2,3), (5,6,7), (9,10,11), and (4,8, 12) are linearly independent.

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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: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given,S = { (2, -1, 3), (5, 0, 4) }To find:  the vector as a linear combination of the vectors in S.…

Q: 3.- Define the vector that allows the linear combination and if it exists, demonstrate the linear…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…

Q: Orthonormalize the following set of three vectors: {(1, -1, 2), (1, 3, 1), (1, 0, 2)}. Please use…

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Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: 7. Given a= [-1, 2,6], b= [0,-1, 3] and c= [2, 4, 5]. Determine a xb.c

A: we are given 3 vectors a, b and c and we need to determine axb.c the vectors are given as--…

Q: Can 5= (7,14,0) be written as a linear combination of vectors from the set {(1.-2,-1). (0,1,2).…

A: Consider the set S=1,-2,-1, 0,1,2, 3,-1,0 Now we check set S is Linearly independent or not (need…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.