Let W be the subspace spanned by u, and u2. Write y as the sum of a vector in W and a vector orthogonal to W. 18 2 y = 2 , u, = 0 , u2 = 1 8. -1 OA. OB. 17 -1 17 35 y = 6 4 y3= 7 -1 15 Oc. OD. 14 4 17 y = 0 + 2 y = -4 - 14 4 7

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Write vas the sum of two vector components if v= 2i+jand w=3/- 2j. O-(-+)+(¹+) O )+(¹+)) O (+)+(+) O…

A: Write v as the sum of two vector components if v=2i+j and w=3i-2j.

Q: how do you solve equations like this is (3,-4) a solution to the equation y=-2/3x+6 i dont know what…

A: For equations, with two or more variables ( variables like x,y) when an answer is provided and asked…

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

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Q: -54 ) Express the vector i and y -5 as a linear combination of a = 4 y.

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Q: -3 3 Let u = -5 and i: 7 Find a vector w not in span {u, v}. 4 -3

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Q: Describe the Z-axis in R as the span of a vector. Can you describe it as the span of other vectors…

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Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: 3. Write the vector (1, 1, 1) as a linear combination of a vector in the direction of (2, –2, 1) and…

A: We have, a→=(1, 1, 1) and u→=2,-2, 1 Let b→ is vector in the direction of u→=2,-2, 1 So, b→=λ2,-2, 1…

Q: Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. ©…

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Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

Q: Let u = (2, −1, −1) and v = (5, -3, 3). A vector with integer components perpendicular to ū and v is…

A: <-6, -11, -1>Explanation:Step 1: Determine how to find the perpendicular vector To find a…

Q: |Let j and ū = -4 Write j as the sum of two orthogonal vectors, 1 in 9 Span {u} and 72 orthogonal to…

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Q: Express the vector x as a linear combination of the u's. -17 U₁ = 0, U₂ = 5, U3 = 6, X = -43 -14…

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Q: Let x = (2, 5, 1) and y = (−1, 3, 2) be two vectors in R3. Compute xTy. Compute xyT. Are x and y…

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Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each…

A: Given that the vectors u=1,2,3v=2,2,-1w=4,0,-4    .

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

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Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

A: Solution:-

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: Let H = span {v1, V2, U3, V4}. For each of the following sets of vectors determine whether H is a…

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Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: Let ū = (3,2), v = (-2, –2), and w = (-4,3). Find the vector x that satisfies 5u – v +x = 7x + w. |…

A: Given that u→=3,2v→=-2,-2w⇀=-4,3

Q: Let H = span {v1, V2, V3, V4}. For each of the following sets of vectors determine whether H is a…

A: write the vectors in the matrix form and find the number of linearly independent vectors…

Q: Q1. Construct an orthogonal set of vectors from the following vectors: X1 = k,X2 ,X3 %3D 14]

A: Use the usual inner product in the vectors and Gramm-smidth orthogonalisation process.

Q: et A axis team consist of XA, YA and ZA vectors, and B axis team consists of vectors XB, YB and ZB.…

A: Given: Let's take A as the axis team consists of XA, YA, and ZA vectors.

Q: (22,20)

A: We have to find the solutions

Q: 10. Let the vector v = 2i -3j + k, and the vector w = = -i+3j+ 2k. Find v x w.

A: