Q2:Answer THREE only A: What is the angle in degrees between ü = (2.2.2) and i =(3.2.1) B : Find the vector F directed from point (3,-5,2) to point (2,-2,1) in cartesi coordinates and Find the unit vector along F C: Evaluate nx dydx D: Evaluate , o)(ky)dydx sinx 4-x2

Q: Q3): If A = 2i-j+ k, B = i + 2j - k and C = i + j - 2k, find unit vector orthogonal to A in plane of…

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t = 2 OA t=8…

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Q: Given the vector u = (1, 2), find the magnitude and angle in which the vector points (measured…

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Q: b) Given Ā = 3 i + 5 j+k. B = 4 i + 2j + 2 k, find 1- Angle between A and B 2- Unit vector…

A: We will find out the required values.

Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

A: b Given vectors are a=3i−2j+7k and b=−5i+4j−3k. 1 We have to find the a⋅b…

Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: H For the pair of vectors u = and v = in R*, find the size of the angle 0 between u and v. Hence,…

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Q: Find the indicated vector. Let u = 3i, v = i+j. Find 6u + v. %3D Oi+ 19j 19i + j 19i + 6j 11i +j

A: Given:       u=3i, v=i+j

Q: Qe A) Find the Vector 5 unit length in the direction of vector perpendicu lar to the dane which…

A: Normal vector we have to find out.

Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: Given A = xya, - yza, + yz´a,, determine: (a) The magnitude of A at point T(2, – 1, 3) |(b) The…

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Q: Find the magnitude of the vector and the angle 6,0° <0<360°, that the vector makes with the positive…

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Q: Answer True or False fu and v are unit vectors, then the angle O between them satisfies cos 0=| u.v|

A: If u and v are unit vectors, then the angle θ between them satisfies cos θ=u.v

Q: Q2/ A) Knowing that A = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

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Q: Q5) Let f(x, y) = Find unit vector for which Duf(2,3) = 0. %3D x+y

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Q: The vector u has length 15 and points at an angle of 25° The vector v has length 10 and points at an…

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Q: of c. Calculate the angle made with the positive direction x-axis by the vector (a) v= 3₁ + 4j (b)…

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Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: Q2:A put true or false for the following: 1- If A.B > 0 then the angle between them 0 = 90 2- The…

A: We will check whether the given statement is true or false.

Q: 1. Find a unit vector pointing in the same direction as v = 2i – k.

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Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

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Q: Let x→=2i→−12j→+k→ and y→=12i→+2j→+3k→ be the two vectors. Find the angle (in radians) between the…

A: Given two vectors are To find angle between given two vectors.

Q: 2 Let u = = 1 (i) Find the angle between u and v. (ii) Find a vector w of length 2 in the direction…

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: B) Find the angle between the vectors V, = i - k, V = 2i – j+ k

A: The given vectors are v1⇀=i-k and v2⇀=2i-j+k

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

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Q: A force is specified by the vector F = (155i +80j - 200k) N. Calculate the angles made by F with the…

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Q: Q2) if the vechors Find scalev component of ū in the divection of ū +2 a) The Proj, ū c) angle…

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Q: 2. Given the figure below, find a single vector that is equivalent to D B a) E-A tw IA tu F to G

A: given vector bundle

Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: (d) Any nonzero vector that's orthogonal to AC (e) Find the angle B. You do not need to provide the…

A: AxB is perpendicular to A and B vector both

Q: 15. Find the magnitude of the vector and the angle , 0° <0<360°, that the vector makes with the…

A: Given: The vector is, W=3i+j. The objective is to find the magnitude and angle of the vector with…

Q: b) Given Ā = 3 i + 5 j + k, B = 4 i + 2j + 2 k, find %3D 1- Angle between A and B 2- Unit vector…

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Q: For what value of t , if any, is the vector (2, 4t) parallel to the vector (4, -1) ? 1 No t OB. Oct…

A: Using the condition of parallel vectors to find value of t.

Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when ) |-4Ã × B| = 4Ã.…

A: Since you have posted multiple questions. As per guidelines we will solve only first question. If…

Q: 7. For vectors a and b in R? prove Lagrange's identity: ||a x b|? = ||a|| ||b||? – (a · b)?

A: for vectors a and b in ℝ2 prove -lagrange's identity a×b2=a2b2-a·b2

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: Based on the table below that showcases the value of u and v can you find a vector [h k] that is not…

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Q: Given the vector u (5, – 3), find the magnitude and angle in which the vector points (measured…

A: Solved below

Q: Find a unit vector e, where v = (4,2, 5) ey = %3D

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Q: For what value of t, if any, is the vector t, -1 parallel to the vector (4, - 1) ? OAt=- 16 OB. t =…

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Q: photo attached

A: Given,

Q: The slope of the 4.5 kN force F is specified as shown in the figure. Express F as a vector in terms…

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Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: If v · w is negative, what does this say about the angle between v and w? Draw a 3-dimensional…

A: we have been given that v.w is negative which means v · w &lt; 0 which means the angle between v and…

Q: For what value of t, if any, is the vector 1 t, -1 parallel to the vector (4, - 1) ? t 8 OA. 1 t= -…

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Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.