Consider the basis B of R2 consisting of vectors [2] and [2] Find in R² whose coordinate vector relative to the basis B is [7] B 18 = = =

Q: Write the vector v = B - - -3 8 5 -44] 50 24 1 - as a coordinate vector with respect to the basis

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Q: Write the vector v = B - 3 8 {[][]}· 8 -2 as a coordinate vector with respect to the basis

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Q: The vector component of A = 62 + 3ŷ + 32 along B=-22 +79 + 42 is: O a. 0.61âx+-213ây+-1.65âz O b.…

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Q: To express the vector =(1.2 -6) as a linear combination of three vectors ,- (0.1. 2), v= (1,0.2) and…

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Q: -{{}")} B = 4 -10 is a basis for R². Find the coordinates of the vector x relative to the basis B.…

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Q: Express the vector from P(-1, -4, 6) to Q(1, 3, -6) as a position vector in terms of i, j, and k.

A: Given vectors are P-1,-4,6 and Q1,3,-6.

Q: Determine m such that the two vectors are orthogonal.

A: Given : 4mi+j and 9m-25j

Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

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Q: Find the equation of the plane sanned by the above two vectors

A: Given: Two vectors u=223 and v=-20-3. To find: Equation of plane spanned by given vectors.

Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

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Q: Determine m such that the two vectors are orthogonal.

A: The vectors 5mi^+3j^ & 2i^+7j^

Q: c) Consider the vector X₁. -3 = [³3] i. Express x₁ as a linear combination of the standard basis…

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Q: 6. -4 Új = -5 U2 = 3 form a basis for R’ if and only if k #

A: Three vectors form the basis of ℝ3 if and only if the determinant of the matrix formed by the…

Q: The vectors B= = [x]B= = -{].M]} 8 form a basis. Find a vector x given the B-coordinates of x are

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Q: Consider the points C(3,-2,0), D(-1,5,-1). Let b be the vector with representation CD. Write b in…

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Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

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Q: Find the coordinate vector [x] of the vector x = to the basis B = O 2 -(0·04]} 1 3 8 2 O The…

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Q: Determine m such that the two vectors are orthogonal.

A: Given : 3i-2j and 4i+5mj

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

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