Let B = {b1, b2, b3} be a basis of R³ where [ 1 2 3 bị 4 b2 5 b3 2 = 4 Let v be a vector in R´ such that coordinates of v relative to the basis B are given by [v]g = 4 Find the vector v. Enter the vector v in the form [c1, c2, C3]:

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

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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: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

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: Write down two unique non-zero vectors à and b in the 5th dimension, R5 (no entry should be 0). a.…

A: The main objective is write two non zero vectors in ℝ5. Find the given values.

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar 3v - 4w.

A: Given  u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. We need to find the specified vector or scalar…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar 3v - 4w.

A: we have been given three vectors u = 2i - 5j, v = -3i + 7j, and w = -i - 6j we have to find  3v -…

Q: Let v= (4,5,8) and w=(-10,-8,9) be vectors. Find the scalar component of v in the direction of w.…

A: For vectors v , w , the scalar component of v in the direction of w is given by Sw(v) = v·ww And for…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar l-l-2ul.

A: Here given as u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Thus -2u=-2·2i+2·5j=-4i+10j