The plane in R³ with Cartesian equation *1 – *2 - x3 = 4, can be expressed in parametric vector form x = a+A1v1 +12v2 where a, v1 and v2 are vectors im R³ and d and A, are real parameters. You are given that V1 = 1 Find suitable vectors a and v2 and enter them in the boxes below using Maple syntax. For example, for the vector 2 enter < 1, 2, 3>. 3 a = V2 =

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: Describe all solutions of Ax = b, where 2-5 3 A -2 6 -5 70] and b = Describe the general solution in…

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Q: Q) Let û = 2745, Vz+3 , and w=T-5 find Scalars a and b such that u - av + bw

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Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 u+v=< U Find the components of the addition of the two vectors u and…

A: Topic = Vector

Q: a line is parallel to the vector i+ 5j+3k and passes through the point P = (6, 2, 4), then the…

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Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: PLease don't provide handwritten solution.

A: Step 1: Given that, u=[3,4,−5]v=[0,−6,4] To find w=2u−3v ,we first need to compute the scalar…

Q: Describe all solutions 2 -1 3 -4 2-6-2¹] of Ax = 0 in parametric vector form if 11

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: Describe all solutions of Ax = b, where [2-5 3] A= -2 6-5 and b = -4 7 0 2 19 Describe the general…

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Q: Describe the solution set, x= x₂, of x₁ + 2x2 - 4x3 = 0 in parametric vector form. Select the…

A: x1 + 2x2 - 4x3 =0

Q: how can i learnd about vector in r2 and r3?

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Q: Find the scalar equation of the plane that contains the line x+1 -3=. and is parallel to x+2=+4_:+2…

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Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

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Q: Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

A: Here given matrix is

Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 &amp; x3)and…

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: et a . Find a unit vector in the -

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Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Q: 17. Find the unit vector ofd = [–3, -7, 4]. a) [-3,-7,4] b)=[-3,7,4] 7 4 示

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…