1 1 1 V1 = 1 V2 x = 3 4 et V = span{v1, v2}. 1. Find V+. In other words, find u̟ and uz such that V- = span{u1, u2}. 2. Express x as a sum of two vectors, one in V, the other in V-.

Q: Set û= and w= Write as a linear combination of these two vectors For the toolbar, press ALT+F10 (PC)…

A: HHere C1 nad C2 are scalars

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A: We have to write EC vector in terms of a,b and c

Q: 3. Write ū= as a sum of vectors, one in the direction of and another orthoganal to a. ā= [3] 图

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

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A:

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 J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: Determine whether the following statements are true or false. Justify your answers. (a) When u and…

A:

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A:

Q: Consider the following vectors: 3 9 -6 6. b= -9 9 3. 10 -9 For each of the following vectors,…

A: Solution

Q: find the diJ tance betueen the vectors

A:

Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

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A:

Q: Express the vector p = (-6,15,-3) as linear combination of the vectors u = (1,-1,3), v = (2,-5,0)…

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A:

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Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: Solve for all vectors X so that × X = .

A:

Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341