Consider the vectors x = 0 0 14 18 " O No O Yes Y 1 - 5 2 5 " Z Does a lie in U = span{y, z}? - 1 -5 -5 -4

Q: Find the magnitude of vector v. 1 X + + 1 2 4 (4,-3) -2+ -3+ -4 -5 - ليا 3 5

A: To find the magnitude of the given vector v .

Q: 9. Find value of a for which the following vectors are orthogonal: u = (3, a, 4), v = (-2,5, a) O a…

A: Givenu→=3, a, 4v→=-2, 5, aTo find    Value of a for which both vector orthogonal.

Q: Sketch 2v, -w, v+w, and 2v-w for the vectors in Figure 24. 5 y 4 3 v = (2,3) 2 1 w = (4, 1)

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Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

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Q: 2. Let G and H be the points G (4, 5) and H(11, -8). 2a Find the vector HG in component form: HG 4…

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Q: Do question one only

A: (a)…

Q: Find the volume of the parallelepiped determined by the vectors a č = (2, 4, 1). (3, 5, – 1), 6 =…

A: The volume, V , of a parallelepiped is calculated using the scalar triple product, V=c·(a×b) . Use…

Q: This doesn't make sense. How does x1-x3=0? shouldn't it be (1,0,0)-(-1,2,-2)=(2,-2,2)? Can you…

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Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: For the following three vectors are given in Cartesian coordinates: A₁ = [-4,3], A₂= [13,5], and A3…

A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: Write v as the sum of two vector components if v = -2i+ 4j and w = 5i + 3j Use the paperclip button…

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Q: A vector in three dimensions can be written in either of two forms: in coordinate form as v = (a₁,…

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Q: -3 1 1 2 -1 3 4 10. Write Nul (A) as span of vectors where A = Then find the dimension of -2 -3 8…

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Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

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Q: Consider the vectors -0-0-0- 3 y = Write w as a inear combination of the first three vectors: V1 + 3…

A: Given vectors are  and .We need to write  as a linear combination of .

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: Find the cross products uxv and vxu for the vectors u = (3,4, - 9) and v = (- 1,-1,1). (Di+ k…

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Q: If u = (-9, 10, 8)|and v = (-9,5, –10), then find w| and q| where w is parallel to u, q is…

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Q: Find the vector v, where u = (-2, 3) and w = (-3, -2). Su + w) Illustrate the specified vector…

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Q: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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