Let x, y, z be (non-zero) vectors and suppose w = 5x – 15y – 3z. If z = x – 3y, then w = 2 x+ -6 y. Using the calculation above, mark the statements below that must be true. O Span(w, z) = Span(x, y, z) Span(w, x) = Span(w, z)

Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: Suppose that v = (3, 5,0, 6), v2 = (4, -1, 7, 2) and v3 = (-6, 0, 2, 7). Is the following vector in…

A: Suppose that v1=(3,5,0,6) ,v2=(4,-1,7,2) and v3= (-6,0,2,7) is the following vector in the span…

Q: Consider the points P(5, −2, 3) and q(−3, 0, 2) a. Write vector |op| using unit vectors. b. Write…

A: Basics of VECTOR are used.

Q: List five vectors in Span {V1, V2}. Do not make a sketch. 9 -7 HHO 4, V2 8 0

A: To list five vectors in the span of (v1​) and (v2​), we need to express them as linear combinations…

Q: For the following three vectors, what is 2. Ć ·(3 Á × B )? В = 3.00î + 3.00ĵ – 4.00k B = - 3.00î +…

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Q: Show that the points with position vectors 4i + 5j, 3i + 3j and -3j are collinear.

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Q: If v = –i + 2j and --Projw= w = -2i + 3k, then - اخترأحد الخيارات -9 52+ j.A C 2 .B - C. Zero vector…

A: Solution

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

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Q: Choose x such that the following two vectors are parallel u = (-5, 7, – 9) and v = (25, x, 45)> -7…

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Q: 6) Vectors p=3i+j+4k and q=2-1 Determine pxq.qxp and p.q.

A: I have explained everything with in the solution, please go through that.

Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select…

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Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: Below is a diagram of the dotted cube with edges of length 5. Suppose vectors u = (5, 0, 0), v =…

A: Given that  u = 5,0,0 ,  v = 0,5,0    and   w= 0,05         (1)  u + v + 2w =…

Q: For the vectors u = (2, 0, 1) and v= (3, 1, 0), evaluate the following expressions. c. |u +3v| a. 2u…

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Q: Your answer is correct. Suppose that vi - (2.4, 0, 7), v2 - (6,-3. 8. 3) and va - (-4,0,4, 5). Is…

A: The solution is given as

Q: In R³ you are given the vectors a = (21,-9, -21,-4) b = (x, -35, -16, -23) Choose a such that b…

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Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: -5 -71 -2 -4 -8 -3 -9 [-1 [3 -2] t A = v = |1 w = -1 and x = 1 -3 5 1 4 v in N(A)? Type "yes" or…

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Q: Suppose that v1 = (5, 2, 0, 3), v2 = (2, -2, 8, 2) and v3 = (-6, 0, 5, 4). Is the following vector…

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Q: five vectors in Span v1, V2}. Do not make a sketch. 8 - -

A: In this question, the concept of the span of the vector is applied. Span The smallest linear…

Q: Let u = (-1,-6,0), v= (6, 1, -3), w = (16,-9, h - 3). Determine the value for h so that w is in the…

A: To find the given questions related to span of a set :-