7 7 The vectors v = 3 and w = 6. -23 -32 span a plane in R. If the equation of this plane is ax + by + z = 0, what are a and b? b=

Q: Uj = U2 = 3 U3 = 3 -2 re the vectors 1, U2 and 03 linearly independent? choose the vectors are…

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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: Given the vectorsA = (2,−4) and B = (−3, 6) in R². How many pairs of real numbers r and s satisfy…

A: System of linear equations

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = <5, 7> and v = <-5, 2> If x = <a, b> and y =<c, d>are two…

Q: IF A =2âx+4ây , B =-3âx+âz and C =2ây+3âz, the vector in the plane containing A and C and…

A: Given: Let us consider the given values as ,  A→,B→,C→A→=2a^x+4a^yB→=3a^x+a^zC→=2a^y+3a^z

Q: For what values of c are the vectors [-8, c, 4] and [c, c²,c] orthogonal?

A: For orthogonal,dot product of vectors is equal to zero.

Q: 5. Add vectors 2i– 2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

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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: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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

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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: List five vectors in Span{V₁, V₂}. Do not make a sketch. 6 40-0 V₁ = 3. V₂ = 3 8 6 List five vectors…

A: The given vectors v1=63-8, v2=-630. We have to find five vectors in the Spanv1, v2.

Q: Is the vector ?⃗ = ⟨−1, −2, 3⟩ perpendicular to the plane 3? + 6? − 9? + 5 = 0? Please give full…

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Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

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Q: 2. Add vectors 2i-2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A: Given that two vector A = 2i - 2j and vector B = i + 5j

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. 6 - -8 HO 5 V2 7 - 9 0 II 5

A: Given vectors are: v1=65-9,       v2=-870 We have to list five vectors in Span{v1,v2}.

Q: Express the vector - 6i- 2j-9k as a product of its length and direction. - 6i-2j-9k= 11 -[A-0-8] i+…

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Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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