u = (15,0, 7) and v = (3, 8, 5). The cross product u x v is equal to:

Q: Find the cross product a × b. a = (9, 0, -4), b = (0, 8, 0) Verify that it is orthogonal to both a…

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Q: Find u, , the component of u along v.

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Q: Find the distance between u and v. u = (0, 1, 2), v = (4, 1, -1) d(u, v) = ||

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Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = (2, 0,…

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Q: Find the component of u along v. u - (-2, 4), v- (1//7, 1/v2)

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Q: find the distance d(u, v) between u and v in the given exercise.

A: We will use the formula

Q: Find the length and direction (when defined) of u x v. u = 2 i+ 2j- k, v = -i+ k

A: As per our guidelines we are supposed to answer only one question and rest of the questions are…

Q: Find the cross product u x 7 where u = 51 -3j+k and = (-1, -3,2). uxv=

A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

Q: Find the length and direction (when defined) of u x v and vxu. u= 5i + 3j – 5k, v=0

A: we know that  uxv=|u|.|v|sin∅.n^where ∅ is angle between u and v and n^ is unit vector perpendicular…

Q: Calculate the cross product assuming that u x w = (-8, -1, -5) (5u + 3w) x w =

A: Solution

Q: (3,8, 0) is u x v = %3D So the cross product of u = (1, 0, 1) and v =

A:

Q: Show that u and v are parallel if and only if u×v = 0.

A: The cross product of two vectors are defined as u×v=uvsinθ. Two vectors are parallel if the angle…

Q: Find the length and direction (when defined) of u x v and vxu. u= - 12i + 9j – 12k, v = - 4i + 3j –…

A: Using formula of u x v and v x u,

Q: 3] By using the properties of dot and cross product, prove the following: a) (ü x 7). v = 0. b) (w –…

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Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a…

A: We can make it easier for you

Q: Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u…

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Q: Find u × v and show that it is orthogonal to both u and v.u = (−2, 1, 1), v = (4, 2, 0)

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Q: Find the cross product a ✕ b. a = (7, 0, −2) , b = (0, 6, 0) Verify that it is orthogonal to both a…

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Q: Calculate the cross product assuming that u × w = = (4, 8, -3) (-u – 4w) × w =

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Q: Find the cross product a × b. a = (4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a…

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Q: Find the distance between u and v. u = (1, 0, 2), v = (1, 4, –1) d(u, v)

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Q: Find the cross product a × b. (1, 1, -1), ь %3 (2, 8, 10) a = Verify that it is orthogonal to both a…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Calculate the cross product assuming that u x w = (-3, 6, 6) (4u - 4w) × w = |

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Q: Calculate the cross product assuming that u x v = (4, 3, 0). v x (u + v)

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Q: Find u × v and show that it is orthogonal to both u and v.u = (1, 1, 0), v = (0, 3, 0)

A: We have given; u = (1, 1, 0), v = (0, 3, 0)

Q: what is the linear combination of  u⃗  and v⃗ ?

A:

Q: Find the cross product axb. 1+9k, b- 41-j+ 3k Verify that it is orthogonal to both a and b (a xb) (a…

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Q: Calculate the cross product assuming that u × v =〈1, 1, 0〉, u × w = 〈0, 3, 1〉, v × w = 〈2, −1, 1〉 v…

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Q: Find the distance between u and v and determine whether u and v are orthogonal, parallel, or neither…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: The separation vector can be written as R = (x – x')ê+ (y – y')ŷ + (z - z')2, Find

A: Given,             R→=(x-x')x^+(y-y')y^+(z-z')z^

Q: Calculate the cross product assuming that u x w иxw3D (2, 6, 1)

A: Given vector u x w <2, 6, 1>

Q: Find the component of u along v. u = 31 - 24j, v =j

A: component of vecor u along vector v is=u→.v→v→givenu=3i-24jv=j

Q: Find the distance between u and v. u = (3, -3), v = (-3, 3) d(u, v) :

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Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = (1, 2,…

A: Using the graphing utility, w = u × v = (1, 2, −1) x (2, 1, 2) = (5, -4, -3)

Q: Let u = (2, 1, – 1) - (-4, α + β 2) w- (α, 0, β ) Find the values of a and ß such that u is parallel…

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Q: Find (u, v) for (u, v) = 2u,v, +3u, v, +u,v, defined in R, where u (9,0,-3) and v (8, 2,17). A. (u,…

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Q: Calculate the cross product assuming that u x w = (-1, -8, -2) %3D (5u + 3w) x w = (

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Q: Find the component of u along v. 3(5,2), v = (3, -4)

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Q: Find the length and direction (when defined) of u x v. u = -,i + +k U = i + j + 2k ||uxo ||= 8 | ||u…

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Q: Calculate the cross product assuming that u X w = (-2, -3, -2) (2u + 4w) × w = {

A: Given u × w = -2, -3, -2

Q: please help me with this exercise

A: To find the cross product, we form a determinant the first row of which is a unit vector, the second…

Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: Evaluate //R V2x(y – 2x)dA where R parallelogram on the xy-plane with vertices (0, 0), (0, 1), (2,…

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Q: Find the cross product a x b. a = j + 6k, b = 31 - j + 2k Verify that it is orthogonal to both a and…

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Q: Find the cross product a x b. a = (7, 6, -5), b = (2, -1, 1) Verify that it is orthogonal to both a…

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Q: Find the cross product a x b. a = i + 4j – 2k, b = -i + 4k Verify that it is orthogonal to both a…

A: The cross product of a and b is:

Q: If v1, ..., V5 are in R' and v3 = 0, then {v, V2, V3, V4, V5} is linearly dependent. %3D

A: Definition used: v1, v2, ..., vk is linearly dependent if there exist numbers α1, α2, ..., αk, not…

Q: Find the distance between u and v.u = (−1, 2, 5), v = (3, 0, −1)

A: to find the distance between u and v where u = (−1, 2, 5), v = (3, 0, −1) we use the Euclidean…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.