Let x, y, z be (non-zero) vectors and suppose w= 24x + 18y-4z. If z = 4x + 3y, then w = x+ A. Span(w, x) = Span(x, z) B. Span(w, z) = Span(w, x) OC. Span(w, y, z) = Span(x, y) D. Span(w, x, y) = Span(x, y, z) OE. Span(w, x, z) = Span(w, z) y. Using the calculation above, mark the statements below that must be true.

Q: be the line through the point with coordinates (0,1,0) in the direction of the vector h of the…

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Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point…

A: The Parametric equations of the line are the components of the vector equation , and have the form…

Q: ) Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.

A: Given problem:- Find the vector that parallel to the intersection line of two planes 2x + y - 3z = 2…

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

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Q: Let x, y, z be (non-zero) vectors and suppose w = -12x - 6y + 2z. If z = 4x + 2y, then w = x+ A.…

A: given that  w= -12x- 6y+2z  and if z=4x+2y then  w= -12x-6y +2(4x+2y)  = -12x -6y +8x+4y w= -4 x -2…

Q: Let w= (-1,4,15), v = (1, 2, 8), v = (3, 0,1). Does w belong to span(v,,v,)? If yes, then write the…

A: We will find out the required solution.

Q: Let V = {u, v, w} where u = (5, -1, 1), v = (3,5,-5). Find that would make a DEPENDENT set of…

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Q: Q3) A) Let 4 (-1 3, 4) and B (-5, 8, 10) two points in the space, find: 1- The vector AB. 2- Length…

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Q: Let x, y, z be (non-zero) vectors and suppose w = - -4x - 16y + 3z. If z = x+4y, then w = x+ A.…

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Q: . Show that the vectors = (0, 3, 1, -1); v, =(6, 0, 5, 1); v, = (4, -7, 1, 3) form a linearly…

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Q: 10. Find a unit vector in the same direction as PQ if P = (5, 4) and Q (3, 7). %3D

A: The solution is given as

Q: Let w, x, y, z be vectors and suppose z = -3x - 2y and w = 6x + 2y + 2z Mark the statements below…

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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: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

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Q: Find the Norm, Direction and Sense of the Vector (8,10), it is requested to graph.

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Q: (b) Let v₁ = (-2, 1,5), v₂ = (0, 1,4), V3 = (-2,4, 17). What is span(V1, V2, V3)? Could it be all of…

A: Given vectors are v1=(-2,2,5), v2=(0,1,4),v3=(-2,4,17) we have to find span(v1,v2,v3)

Q: Let w, a,y, z be vectors and suppose z = -2x - 2y and w=2x+4y+ z. Mark the statements below that…

A: Given  are vectors and  and  .To choose which of the statements are true.A. B. C. D. The span of…

Q: Let w, z, y, z be vectors and suppose z = 4x+y and w=12x+2y-3z. Mark the statements below that must…

A: The given equations are z=4x+y, w=12x+2y-3z where x,y,z,w are vectors. We have to Select the correct…

Q: 18. Find the projection of (0,4) onto (3,7).

A: Answer

Q: Let F(t) = (✓t-3, 3e", + 210 10 ). 4t Evaluate the definite t integral. 30 Lou 11 r(t)dt

A: Step 1:Step 2:Step 3:

Q: Suppose a, b, c are vectors in R³ for which Then (22a) ((14b) x (10c)) = Check det[a b c] = 2 Which…

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Q: Let w, x, y, z be vectors and suppose z = x - 4y and w = - -2x - 4y + 2z. Mark the statements below…

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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: Suppose that v1 = (5, 1, 0, 5), v2 = (5, -3, 6, 2) and v3 = (-5,0, 5, 2). %3! Is the following…

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Q: Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z. Mark the statements below…

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