1. Given a =<1, 0, -2 > and b=< 2, 1, -1>, find the scalar projection of bon a, 2. Given a =<1, 0, -2> and b=<2, 1,-1>, find the vector projection of bon a

Q: a= b=

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Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

Q: Let A = (-3, 4), B = (-2, b), C = (1, 6), and D = (a, 2). Then AB and DC are opposite sides of the…

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Q: Suppose we know that Write A 6 as a linear combination of the vectors 5 8- 5 6 = 0 H + 6 1 1 -DE-B H…

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Q: Show that the column vectors (1,1,2,4), (2,-1,-5,2), (1,-1,-4,0) and (2,1,1,6) vectors in R are…

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Q: Find the projection of the vector a = (2, 5, 1) on the vector b = (1, 1, 3) O a. (10/11)(ax + 3ay +…

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Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

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Q: Determine if the vectors , and are linearly independent.

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Q: 3. (7-9) A vector has an initial point at (1, –1) and an endpoint at (8, 6). Write the vector in…

A: The given start and endpoints of vector are (1,-1) and (8,6) We know that the magnitude of a vector…

Q: Suppose that v₁ = (4, 4, 0, 7), v₂ = (2, -5, 5, 4) and v3 = (-7, 0, 5, 2). Is the following vector…

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Q: Show that the vectors (1,0,1); (-1,2,3) and (0, 1; -1) spans R³

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Q: f possible express the vector v as a linear combination of 1, V2, and V3. b) v = (0, 0, -1), V₁ =…

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Q: Consider the vectors ā₁ = (-1,2,2), a2 = (2,2, -1), and 3 = (2,-1,2). 1. Compute the projection…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. (a) Determine if the four points P¿(1,1, –2), P2(4, 0, –3), P3(1,–5,10), and P,(-7,2, 4) lie on…

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Q: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

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Q: dy y X, dx

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Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b = (2, 1, 1) comp b= proj₂b =

A: Given that the vectors a=-3,-6,2 b=2,1,1   .

Q: If possible express the vector v as a linear combination of V1, V2, and V3. (b) v = (0, 0, -1), V₁ =…

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Q: Find symmetric equations of a line that contains the point (13,3,7) and the origin. Demonstrate how…

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Q: the transfer of the coordinate system by the vector v = 21 +3j is carried out. The original…

A: v     =Transfer vectorv     =2i+3jorvxvy=23 ---------------------------------------------- Points to…

Q: Find a vector that is orthogonal to v. v=

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