За + 2b Let W be the set of all vectors of the form Find vectors u and i in R' such that W = span {ū, i}. -a b

Q: Find two unit vectors orthogonal to a = (3, 3,0) and b = (-3, 0, –4) Enter your answer so that the…

A: We have to find two unit vectors orthogonal  to given a and b vectors.

Q: Find a vector v with initial point vector in the direction of v. Enter your answers in i, j, k…

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Q: Whereas a sphere is inscribed in a straight circular cylinder. The sphere is cut by any two planes…

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Q: Let u be the vector with initial point (2, -5) and terminal point (-1, 3).  Find the norm (or…

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Q: Determine the distance between the largest and smallest value of the parameter t belonging to the…

A: Given vector function r(t)  =81-t2  ,  t2-4  , ln3t

Q: Find the scalar and vector projection of the vector b = (−1, −1, 1) onto the ve Scalar projection…

A: Scalar Projection :  The length of the projection is called scalar projection. Vector Projection :…

Q: Exercise 8. Let u = (1, 2). Find a nonzero vector v E R² perpendicular to u. Show how to express any…

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Q: 23. Are the vectors u = and v = orthogonal? Explain.

A: Two vectors are orthogonal, if their dot product is equal to zero.  The formula to calculate dot…

Q: (6.) Let u (1,3,-2) and v (0, 2, 2). %3D (а. Determine compyu the scalar projection ofu onto v. (b.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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Q: Points to choose from: A(1, -6, 8), B(3, 2, 1), C(-4, 10, -7), D(5, 7, -2), E(-1, -8, 7) 1. Choose…

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Q: Tarentkes es shen analyzing the Vectorà ai-j +3k the sum of the vectors The first is Parallel to the…

A: Topic:-  vector

Q: Fine the Vector function that represents the curve of intersection of the two surfaces. The cone z=…

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Q: find vector v that is orthogonal to vector (0,1,0,0,0) Select one: a. v=( -1, 0, s, t, w) b. v=( r,…

A: Two vector are orthogonal if their dot product is zero.

Q: Sui+ (v,u2)u2+ ··+ (v,uk)uk. =(v) is the closest vector to v in U and that it is the Iv - proja(v)I

A: To show, projαv is the closest vector to v in U and that it is unique such that, v-u≥v-projαv if…

Q: Pp: In Vu CR) find all vectors which is orthoyonal to u=(-1,l,-2,3)

A: Consider the vector  u=−1,1,−2,3

Q: 8. Let a be the plane that goes through the origin and has normal (1,2,3) and let 3 be the plane…

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Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

Q: Qure O QY Use Gramer's Rule to Find Kyy and Z -y-22 = - %3D + 32 = 2 %3D 7X +y+Z = o %3D Q2/ Find…

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Q: Let u be the vector with initial point 〈-2, 6〉and terminal point 〈-8, 3〉. Write u as a combination…

A: Let, x=<-2,6>=-2i+6jy=<-8,3>=-8i+3j

Q: Column unit vector on the plane 2x + 2z - 4y = 3 is the vector

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Q: 11. It is the distance of the point A on the terminal side of angle in standard position from the…

A: Option C

Q: Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the…

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Q: Find the two unit vectors al orthogonal to vector b = (-4, –3). First vector =| Second vector = help…

A: We will use the definition of orthogonality that says that the dot product of two orthogonal vectors…

Q: Use the vectors u = (4, 4), v = (-6, 3), and w = (4, -1) to find the indicated quantity. (u v) - (u…

A: We have to find the indicated quantity. This problem can be solved using the dot product of the…

Q: The vector v and its initial point are given. Find the terminal po v= (2, -3, 6) Initial point: (0,…

A: Given vector is: v→=2, -3, 6 Initial point is: a0, b0, c0=0, 6, 1

Q: Determine proyección del vector b = los vectores: ----- V2 sobre el espacio que generan []} = -2 V3

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Q: inear combination of the vectors (-1, -1) and (-1, 1).

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Q: Use the graph to determine mentally the projection of u onto v. (The coordinates of the terminal…

A: Solve the following

Q: 8. Give examples of sets of three vectors that are a. Collinear b. Coplanar c. Not coplanar Explain…

A: Solution: a) Collinear : Two or more vectors are called collinear when they are parallel to the same…

Q: De termine if the vectors 2 re lincarly independent or linearly dependent Please explain your answer

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Q: Three vectors are defined by position vectors defined ā=(4,–1,–2), & = (-3,5,–1) and č= (x,y,=) ,…

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Q: A plane passes through the points A, B and C with coordinates (9,1, –4), (13, —4, 7) and (4, 2, −5)…

A: For the given points on the plane the cross product AB→ ×AC → = -6i-51j-21k or can be written as…

Q: Dot Product of two-unit vectors is a unit vector. True False

A: Concept used: Consider two vectors as A→ and B→, then the dot product of these two vector is defined…

Q: (a). Find a negative number x for which all three vectors A~ = (1, 3, 5), B~ = (1, 1 + x, 11) and C~…

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Q: Find the vector in R' from point A = (5,4, –6) to B = (-6, 1, 9). AB help (vectors) %3D

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Q: Vectors to choose from: u = (-2, -12, 4), v = (3, -2, 1), w = (8, 12, -4), p = (-3, 9, -3), à = (4,…

A: The given vectors are: u→=-2,-12,4, v→=3,-2,1, w→=8,12,-4, p→=-3,9,-3, q→=4,5,-2 Find the two…

Q: Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j A. P1=…

A: A. we have two points p1(2,7) and p2(8,-5), the vector from p1→p2 is  v= (p2x-p1x)i + (p2y-p1y)j…

Q: Cross-product of vectors   ⟨2,−1,3⟩×2⟨4,2,1⟩=?

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Q: Let u be the vector with initial point  P(7, −3)  and terminal point  Q(−6, 7). (a) Graph u in the…

A: First we draw the graph of vector u then we represent this vector in terms of i, j. Finally, we find…

Q: Find whether the vectors are orthogonal, parallel, or neither. Please show calculation and…

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Q: Let u be the vector vith initial point P(5, -3) and terminal point Q(-1, 4). (a) Graph u in the…

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Q: What is the vector (v) whose tail and head are the midpoint (vectorAB) an the midpoint (vectorBC),…

A: Given points are,

Q: Distance between two vectors is a vector quantity. True False

A: Distance between two vectors u and v  :  distu,v= u-v= u1-v12+u2-v22+...+un-vn2

Q: 15) If U and V are 3 dimensional vectors such that V = [ 7, -4, 10] and U = [-5, 8, 6] calculate:…

A: NOTE: Refresh your page if you can't see any equations. . find the cross product

Q: a linear combination of the vectors Can we express the vector a = (2, – 5, 3) as e = (1, 1, 1), ez =…

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Q: Find two unit vectors orthogonal to a = (-2, 1,2) and b = (-2, 0, 1) %3D Enter your answer so that…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (There are many correct…

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Q: 5.. If possible, express w as a linear combination of vectors u and v. w = (1,0, –7), u = (1,3,4), v…

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Q: A force is given by a vector F = (1,2, 3) and moves a particle from the point P(2, 1, 0) to the…

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