Which one of the following is a unit vector parallel to v = 81 +j – k? O (-8, 1, -2) V66, V66, - V66 O (- -) 33 1 2 O (V , - V6) 1 33 66, 6 V66, ㅇ () )-) 1 4 1 66> 33> 66 4 33> 66> 66 O (8, 1, -1) O (1, 8, -1) O (- V69, V69, - V60) 2 None of the other options.

Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

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Q: Find a unit vector orthogonal to both u and v. (-3, 4, –2) (-1, 1, 0) u = V = 2 2 1 3' 3' 3

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Q: ind a unit vector orthogonal to bothu and v. u = (-8, 7, -2) v = (-1, 1, 0)

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Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

A: Linearly independent

Q: Which of the following vectors is perpendicular to v = (1, –1, 3) ? о (2, —1, —1) O (-1, –1, 2) о…

A: Two vectors (a, b, c) and (x, y, z) are said to be perpendicular when their dot product ax+by+cz=0

Q: Pls help ASAP

A: It is vector problem

Q: 2v in Given vector U= (2,5) and v = (1, –3) , determine the value of u component form.

A: Topic:- vector algebra

Q: Q3) A) Let 4 (-1 3, 4) and B (-5, 8, 10) two points in the space, find: 1- The vector AB. 2- Length…

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Q: Which of the following is parallel to the vector (-14, 0, 7)? i. (-2, 0, -1) ii. (14, 0, 7) iii. (1,…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: -3 3 Let u = -5 and i: 7 Find a vector w not in span {u, v}. 4 -3

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Q: Find a unit vector orthogonal to both u and v.u = (−4, 3, −2) v = (−1, 1, 0)

A: Given u→=(-4,3,-2)v→=(-1,1,0) unit vector orthogonal to both u and v is gruen by     u→×v→‖u→×v→‖

Q: 2. Consider the vectors [2, 1, 0, 0], [3, 1,0, 0], [0,0, 0, 1) in R". Find a vector v so that v, (2,…

A:

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, –1)

A: the given vectors are: u=-8,-6,4v=17,-18,-1 we have to find a unit vector that is orthogonal to both…

Q: -2 Let i -4 be a vector in R³. -2 Find the length of vector -3. || – 37|| -

A: Multiply the given vector with -3

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Q: 1. Consider the vectors (2, 1,0, 2], [3, 1, 0, 1], [1, 1,0, -1] in R'. Decide whether they…

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Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

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Q: Find the terminal point Q of the vector v = 7i-j+3k given the initial point is P(-2, 3, 5) О (5, 2,…

A: In this question we have to find the terminal point of Q.

Q: 19. Find two unit vectors perpendicular to vector u= (7, 0, -1) and vector v = (1, -1, 1).

A: We have to find the unit vector

Q: Find a unit vector that is orthogonal to both u and v. u - (5, -1, 3) v = (1, 0, -2) %3D

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Q: find the sum of vector AB and CD where A (1,-1) B (2,0) C(-,3) D(-2,2)

A: Let A (1,-1) B (2,0) C(-1,3) D(-2,2) be the given vector. Of course here in the problem   "-1"is…

Q: 19. Find two unit vectors orthogonal to both (3, 2, 1) and (-1, 1, 0). Answer

A: Unit vector orthogonal to both a⇀, b⇀ is: ±a⇀×b⇀a⇀×b⇀

Q: Find the vector component of the vector U orthogonal to a: и %3D (4, —1,2) and a %3D (1,3, —2).…

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Q: Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

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Q: 9. Find the vector triple product of vectors u, v and w. =(2,-1,3), v=(0,1,7), w=(1,4,5) (a) ux(vxw)…

A: The solution of the problem is given in the next steps.

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 3u…

A: u=-3, 4 & v=2, -5 a). 3u-4v=3-3, 4-42, -5=-9, 12-8, -20=-9-8, 12--20=-17, 32

Q: 1. Find the unique unit vector ī = (v1, v2, v3) that is orthogonal to (1, 1, –2), forms an angle of…

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Q: Let A = (0, 0, 0) and vector v = (-3, 0, 1). Find vector equation of the line containing the point A…

A: Given point on the line is A=(0,0,0) and the line is parallel to the vector V=(-3,0,1)

Q: Show that VI = (1,0,1) , v, = (1,1,0) , v3 = (1,1,1) span R'. Express vector v= (2, 1, 3) as linear…

A: v1 ,v2 ,v3 ,...,vn span R^n if det(v1,v2,...,vn) is non zero

Q: Let A=(0,−3,1), B=(−2,3,2), and P=(k,k,k). The vector from A to B is perpendicular to the vector…

A:

Q: (1) Let x and y be the vectors -- -- -) x = and y = 4 (la) Find a vector z such that ||z|| = 1 and z…

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Q: If the vector v has initial point P, what is its terminal point? v = (-7, 0, 7), P(8, 0, –8) (x, y,…

A: in 3d space, if point P(X1, Y1, Z1) is the initial point and point T(X2, Y2, Z2) is the terminal…

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (17, –18, –1) V

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Q: 2. Consider the vectors [2, 1,0, 0], [3, 1, 0, 0], [0, 0,0, 1)] in R'. Find a vector v so that v,…

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Q: Let U (x, y, z) a unit vector parallel to V(-8.4 , 6.6 , 9.2) U = O (0.60, -0.47, -0.65) O (-0.60,…

A:

Q: Determine if the vector v is a linear combination of the remaining vectors.

A: The given vectors are, v=321,u1=110,u2=011

Q: For the vectors u (1,0, 1) and v (0, 2, 1), u x v = %3D O A. (1, 2, 0) O B. (1, 2, -2) OC. (2, 1, 2)…

A: Given. The vectors u = 1, 0, 1 v = 0, 2, 1 We have to find u×v

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is O O O O

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Q: Find a vector orthogonal to both u and j+k. u=i-3j+2k

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Q: 1. Are the vectors (-3, 0, 4), (5, -1, 2) and (1, 1, 3) linearly dependent in R3? a. Yes b. No

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Q: 1. Find all unit vectors that are parallel to the line going through the points (1, 3, – 1) and (2,…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: (c) Are the vectors v1 = (3,1,2, 1), i2 = (-1,0,1,0), iz = (3,0,0,3), T4 = (5, –2,0, 4) linearly…

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Q: Identify the vectors that are orthogonal to v = (1,2, 1) but not to w = (1,0, – 1). 口(-2,2,0) (-1,…

A: u and v orthogonal if u.v=0 i.e. let u=(x1,y1,z1) and v=(x2,y2,z2) then u.v = (x1 * x2)+(y1 *…

Q: 10. The vectorj^3E is the same as vector O j^4E O j^5E O j^2E O jE

A: Solve by vector product

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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