Find the following. (1,). v - (5, 8) u (a) u

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: (b) How can you use vectors to determine whether four points in 3-space lie in the same plane? 2.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find u. v, uu, ||u||², (u - v)v, and u . u = , V = (a) (b) u. V u . u (c) || u ||2 (e) (d) (u. v)v…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the constants m and b in the linear function y = f(x)= mx + b, such that f(1) = -2 and f(3) =…

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Q: 17. -4 Compute and compare u•v, u|2, Ivl2, and Ju +v2. Do not use the Pythagorean Theorem. Let u= -…

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Q: Let u = (1, 0, 2), v = (0, 1, 1) and w = (2,1,0). Which of the following statements are true? (i)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find u · (v x w). (4, 4, 4) (4, 6, 0) w = (0, 0, 9) u = V =

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Q: J1, 1), К(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 3)

A: Below Image has the graph with points plotted on Coordinate Axes.

Q: Let A = and v= Verify A(u + v) = Au +Av. 2.

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Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

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Q: Which of the following points is at a distance of 5V2 from the origin. * O (0,0) O (5,0) O (5,5) O…

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Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Given z=f(x, y), z = x(u, v), y=y(u, v), with z(7,5) = 5 and y(7,5)=3, calculate z, (7,5) in terms…

A: The given function is z=fx, y, x=xu, v, y=yu, v. The given table is fx7, 5=2 fy7, 5=a xu7, 5=2…

Q: 17. Show that Z () = zlog

A: Z-tramsform

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: 1) 2xyy = (y)2 +1

A: we have to integrate

Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: A v xu u = (1,3,-3), v = (4,0.2) T......

A: Let's find.

Q: q9

A: Finding the projection of u → onto v →:   projv →u →=v →·u →v →2·v →Here v=2i-2j-4k or (2,-2,-4)…

Q: Compute u X v.

A: Here given vector u=-123, v=2-4-6 Now it can be written as u=-i+2j+3kv=2i-4j-6j Thus vector uXv is…

Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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Q: sinrdr In(cosr – 3) | cosr -3 A cosr – 3 B In (cosr – 3) In (cosr – 3) cosr – 3 D sinr E) None

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Q: Suppose u = (4, 1, 1) and v = (–4, −1, −3). Then: u + v= Ա υ V= u= 2u= -1/v= 7u - 6v=

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Q: Find |A|, [B], A + B, and JA + BỊ. Then verify that |A| + |B| = |A + BỊ. 1 7 A = 1 -1 0 0 1 -1 B = 7…

A: We can solve this as follows: