Which of the following is true? Where A, B and C are none zero vectors Select one: O A. (B x C) = vector value O A. (B+C) = vector value O Ax (B+C) = vector value %3D O Ax (B x C) = scalar value

Q: If u is a unit vector and a is a positive scalar satisfying au + = 0, find a and u.

A: Given: u is a unit vector and the scalar a is positive satisfying the equation au+1,-2,5=0 To find…

Q: Let v = (8, 15). a. Find a vector in the direction of v that is three times as long as v. b. Find a…

A: Given vector

Q: Consider the following vectors: 1 1 2 ;V2 = 1 Vị = ;V3 4 (a) Determine if these vectors are linearly…

A: Given vector are v1=121, v2=132 and v3=104. (a) We have determine whether the these vectors are…

Q: Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A = and B =…

A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: Find two vectors in opposite directions that are orthogonal to the vector        u = −(1/4)i + (3/2)…

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Q: The Ū = ( 3 is a unit vector in the 3 Jī3 direction of (2, 3). Select one: True False

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Q: 3. Express the following vectors in Cartesian (component) form. Z a) f has magnitude 20 and…

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Q: A. Find the values of a such that vectors and are orthogonal .

A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: Given that (A x B) x (C x D) = [A,C,D]B - [B,C,D]A, derive (A x B) x (C x D) = [A,B,D]C - [A,B,C]D…

A: To derive the second identity , assuming the truth of the first

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: Consider the following vectors: 2 3 u = 3 v = -4 W = 17 2 Express w as a linear combination au+bv.…

A: The given vectors are  u=23-1  , v = 3-42,  w= 017-7

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

A: Given vectors are: v=123; u1=110; u2=011 If the vector v is a linear combination of the remaining…

Q: (c) Consider the basis vectors ê1 = * and êz = *. What is the length of the vector V defined as V =…

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Q: 27-j+4k sī +2j-2k.

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Q: We have three vectors ủ, v and w in R4: 1 2 1 -1 1 (7a) Are these vectors ū, v and ú linearly…

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Q: 1. Show that the necessary and sufficient condition for two nonzero vectors A and B to be…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: What is the resultant of vector A=2i +3j. and vector B=3i -2j Select one: a. 3.5 O b. 2 C. 5/2 Od.…

A: A vector is something that has both magnitude and direction. Like, if you are saying, someone is…

Q: The projection of the vector ( i-j+5) onto the vector 2 i+ j + 4 k is

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Q: Q3. Prove that (only one): Ĝ = ax-ay is a unit vector? a- b- L = 6ax – 3a, + 2a, and M = 3a, + 2a, –…

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Q: One of the following vectors lies in span{ 2+x + æ2, 3+-2a2} (A) 5 + 3x + 4x2 (B) 5 + 3x + 5æ? (C) 5…

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Q: Show all work to calculate the value of x that makes the two vectors orthogonal to each other. v =…

A: Orthogonal vectors: Two vectors a→ &  b→ are said to be orthogonal if they are perpendicular to…

Q: 17 (c) Find a unit vector which is orthogonal to the vectors -1 2 and 1 -3 5

A: First we will find a vector which is orthogonal to both given vectors and then we will find the unit…

Q: Q3. Prove that (only one): a- G = ax-ay is a unit vector? %3D b- L = 6a, – 3a, + 2a, and M = 3a, +…

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Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: Let v = -5i + 2j and w = 2i - 4j.Find the specified vector scalar, or angle 3v - 4w.

A: It is given that, v = -5i + 2j and w = 2i - 4j

Q: 3. Which of the following statements is correct concerning the vectors in the diagram? (а) а-Ь-с (b)…

A: Note that the magnitude and direction of a vector does not change if it is translated from one place…

Q: Ql: Determine whether the following vectors are parallel, orthogonal or neither. vi = i+ 6j – 4k, V2…

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

Q: Determine whether the vectors v1=[12 1]^T , v2=[1 O 2]^T and v3=[5 6 7]^T are orthogonal vectors Non…

A: We have to check weather the given vector are dependent or not.

Q: 5b- За Let W be the set of all vectors of the form Find vectors i and v in R such that W = span {i,…

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Q: 10. In the diagram, M is the mid-point of CD, BP:PM = 2:1, AB AD = z. = x, and AC = y and %3D…

A: Given that:                               NOTE: As per our answering guidelines, we can only answer…

Q: 2) Let Ā = î + 4j + 3k and B = 3î +j. a) Find the norm of A and B. b) Find the unit vector of A + B.…

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Q: Find a so that the vectors v = i- aj and w = - 9i - 8j are orthogonal. (Type an integer or a…

A: As we know that; If two vectors v & w are orthogonal to each other then the dot product or…

Q: Find a unit vector orthogonal to both u and v. u = 3i – 5j + 2k -k + 10 - V =

A:

Q: 16. Consider this regular octagon. If AB =ü and BC =v, express each vector in terms of u and v. B C…

A: 1)from the triangle law of addition  when two vectors are moving one by another then the third…

Q: Answer the following questions: 1] Suppose that W, N are non-zero two- dimensional vectors which are…

A: Concept:

Q: A. Find the values of a are orthogonal . such that vectors and

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

Q: What can be concluded about non-zero vectors ū, v and w if a) ū ·ī = 0 b) ū xv = 0 с) (й хV). w%3D0…

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Q: Find a unit Vector orthogonal to both vectors: U =21 +5j-K and V=i+3j-2K.

A: We can find the unit vector as below

Q: 1. (a) Calculate the dot product of the two vectors (b*) Find the value for c for which 2 and [2] C…

A: Calculating the dot product of two vectors

Q: Which of the following vectors are not orthogonal to the vector i = Check all that apply. 3 0 -2…

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Q: . Prove: If a and b are both unit vectors, then axb is a unit vector only when a and b are…

A: since you have asked multiple questions in a single request, we would be answering only the first…

Q: and v2 = -3 3. be two -8- Question ( Let vi %3D vectors in R. Show that v belongs to span {v1, v2 }.

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Q: If u is a unit vector that is parallel to a nonzero vector v, then u - v = +||v||. %3D Select one: O…

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Q: Find a so that the vectors v=i- aj and w = 7i- 10j are orthogonal. (Type an integer or a simplified…

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Q: A) Express the following vector as a product of its length and direction: v = 4i + 8j –16k

A: Recall: If v is a vector then length of the vector is v and direction v^ =vv.

Q: Consider the vectors x1 = (2, 1)T and x2 = (6, 3)T . Determine the length of each vector.

A: Given: x1=2i+j, x2=6i+3j we know that for any given vector v=ai+bj, length l of vector is given by…

Q: Determine whether each of the following statements is true or false. You do NOT need to explain. Let…

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Q: Two orthogonal unit vectors x, y E R° such that ||æ – y|| = 2.

A: See the attachment

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.