1. A vector in three dimensions can be written in either of two forms: in coordinate form as v = (a,, az, az) and in terms of the vectors i, j, and k as v = The magnitude of the vector v is | v | = So (4, -2, 4) = i+ j+ k and 7j - 24 k =

Q: 1] Suppose that W, N are non-zero two- dimensional vectors which are not parallel. Show that if C is…

A: Please rate and feel free to ask any query about any part of the question

Q: If         →                    AB = (−5, 4) then 4 is the _____ of the vector.

A: We know in a vector of the form (a, b); a is the x-component and b is the y-component of the vector.

Q: 4. Three collinear vectors, a, b, and c, are such that à = 2²/b b and à = 1/2c. (a) Determine…

A: The objective of the question is determine the knowns.

Q: Given that = (1, 2. 3) and = (4. 0. -4) find the vector where %3D !3! 2 u +v- w +37 = 0

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Q: If i = (a, b, 0), ï = (a, 1, 6), and (1,1, 12) are vectors in R Determine the value of b so that and…

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Q: True or false: Given two nonzero vectors v and w, v can be decomposed into two vectors, one parallel…

A: Given: Two nonzero vectors v and w, v can be decomposed into two vectors, one parallel to w and the…

Q: 4. Suppose the vectors u and w are in space R, then u - 2w and u+ 2w are perpendicular if (a) ju =…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: This question relates to three vectors defined as p j-3k, q =-2i -j- 3k and r= 4i + j+ 3k, where i,…

A: Solution :-

Q: Find two non parallel and two parallel vectors both orthogonal to (1, 2, 3)

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Q: 1/4 For the given vectors V1 and V2, determine V + V2, V1 + V2, Vị - V2, Vị × V2, and Vị · V2.…

A: Let's find.

Q: If the components of a contravariant vector in (x') coordinate system are (3,4). Find its components…

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Q: (a) What is the sum V of the twelve vectors that go from the center of a clock to the hours 1: 00,…

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Q: This question relates to three vectors defined as p = j- 3k, q = -2i -j- 3k and r = 4i + j+ 3k,…

A: To find  The vector product of the given vectors.

Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: In Problem,decompose v into two vectors v1 and v2 where v1 is parallel to w and v2 is orthogonal to…

A: V=v1+v2  (Given)when two vector v1 & w are parellelthen the angle between v1 &w is 0° or…

Q: 1. Consider vectors v = (-1,1,3) and w ( 2,1,2). Find vectors vi and v2 such hat _v = V1 + V½ and vi…

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Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

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

Q: 1- Find the distance d between the points (4 ,6, – 1) and (8 , -2,6) 2- if v =(-4 ,0,2) and w = (6,…

A: We have given vectors, we have to find  1. Distance between points.  2. 2w-4v 3. P2 P1 4. Unit…

Q: 4. Given the two vectors rA =-ax - 3ay - 4az and re= 2ax + 2ay + 2 az and point C (1, 2, 3) find: a)…

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Q: 2. The cross product of two vectors u and v is. to u and to v. Thus if both vectors u and v lie in a…

A: Given two vectors u and v

Q: 5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendic through the points A(1, 2, 5),…

A: Introduction: When a vector is along the direction in another vector, the two vectors are parallel…

Q: Given the points A(-2, 3, 1), B(0, 0, 2), and C(-1, 5, -2) Express the vector v = (3,2,7) as a sum…

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Q: 5. Express the vector having magnitude 7, and direction 13 degrees (when drawn in standard…

A: Solve the following

Q: True or false: Given two nonzero vectors v and w, v can be decomposed into two vectors, one parallel…

A: Given that : The statement : Given two nonzero vectors v and w, v can be decomposed into two…

Q: If k is a real number, then the vectors (1, k), (k, k + 56) are linearly independent precisely when…

A: If k is a real number, then the vectors (1, k), (k, k +56) are linearly independent precisely when k…

Q: 4 1 Let S= 3 -1 and vs 2 . Find the vector v. -2 a) v = (-4,8, –10) c) v= (-4, -8, -10) b) v = (4,…

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Q: 11) in triple cross of vectors (A × C) × B = Cx (B × A).

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Q: through the point (−2,4) and is perpendicular to the line  x=[31]+t[4−5] is

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Q: If the vectors (y, a, i+ 2) and (a, 1+ y,-1) in C are orthogonal and if y +y # -1, then the…

A: If two vector are orthogonal then dot product is zero.

Q: Suppose u¯¯¯=⟨0,1⟩u¯=⟨0,1⟩ and v¯¯¯=⟨2,1⟩v¯=⟨2,1⟩ are two vectors that form the sides of a…

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Q: 9. Let ū = (4, -6), T = (-2,4), and = (6,4). (a) Are ī and ū orthogonal vectors? How about ĩ and w?…

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Q: 7. Let u and v be two vectors for which ||u||² + ||v||² = ||u + v||² From this information alone,…

A: Given that u2+||v||2=||u+v||2 consider the right hand side of the given equation. ||u+v||2=u+v.u+v

Q: If v and w are two vectors in standard position (that is with the tail at the origin) in R", then…

A: The given statement is: If v→ and w→ are two vectors in standard position ( that is with the tail at…

Q: 4) Find Ax in Cartesian coordinates from the vector A = ar 3cosϕ - aϕ3sinϕ + az rϕ. A. 3cos2ϕ B.…

A: Given the vector : A=ar 3 cos(ϕ) -aϕ 3 sin (ϕ)+az rϕ We have to find Ax in the Cartesian…

Q: write the given vector in terms of I and J. u={-8, 10} u=???

A:

Q: This question relates to three vectors defined as p = j- 3k, q = -2i -j- 3k and r= 4i + j+ 3k, where…

A: Solution

Q: 4.4.2 The vectors defining a particular system of oblique coordinates are c = (j + k)//2. a = i, (a)…

A: Given - a = i , b = j and c = (j+k)√2 (A) We have to find P , Q and metric P¯P P =…

Q: 1. Given three vectors u =(1,–3,0), v=(2,1,–1) and w=(0,2,3). Determine: a. Bu + 4v – Sw]. b. Cosine…

A: 1. a.

Q: Consider the vectors u =(1,0,4) and v =(-4,11,-4) in R3. If it is known that -3u" +w =v° then w…

A: From the given problem: u=1,0,4; v=-4,11,-4 So, -3u=-31,0,4=-3·1,-3·0,-3·4=-3,0,-12

Q: 4.14. Determine whether vectors u and v are orthogonal, parallel, or neither for u =i and v = -2i+…

A: You need to verify by using orthogonal and parallel test of two vectors using their dot product.

Q: 1] Suppose that W, N are non-zero two- dimensional vectors which are not parallel. Show that if C is…

A: We have to solve given problem:

Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

A: The given vectors are: And, Let the coordinates of vector w be, Substitute the coordinates in…

Q: 1. Find the equation of the vector from SCS points P;(5, 45°, 30°) to P2(7,120°, 150°). Express your…

A: Given - P1(5,45°,30°) , P2(7,120°,150°) To find - The equation of the vector from P1  to P2 and…

Q: 17 jp 17 Jlgull>> حفظ الإجابت 3 درجات Two vectors ñ and m are said to be parallel if ñ m-0

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Q: 1. If vectors u (3, 3), v-(13.-7), and 2w +3u-v 2. When is it true that u+ v=v+u?

A: The symmetric property states that for all real numbers x and y, if x=y, then y = x SO,  u+v =v + u

Q: A- If P1(1,3, –2) and P2(4,7,-2) are two points. 1- Compute the length of 2P,P2 2- Is the vector…

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: The number of elements in a vector generated by [4:0.1:13] is

A: We have to find the number of elements in a vector generated by  [4 : 0.1 : 13].

Q: Given the following vectors, - 1 3 Determine whether the vectors are independent of each other or…

A: Linear Independence :  A set of vectors v1,v2,...,vn is linearly independent if…

Q: If the components of a contravariant vector in (x') coordinate system are (3,4). Find its components…

A: In this question, we need to find the component of the contravariant tensor by using the given…