If a is a vector and c is a scalar, how is ca related to a geo metrically? How do you find ca algebraically?

Q: Find the unit vector in the direction of v and verify that it has length 1.

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Q: Find a unit vector e, where v = (1, 2, 3). ev

A: Unit vector is a vector that has magnitude 1 For a vector v=<x, y, z>Norm of vector v is…

Q: Given that p and r find in column vector form:

A: In this question, we find the column vector by using the given vectors.

Q: Find a unit vector that is orthogonal to both u and v for u = and v = .

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Q: Find the following vector.   The vector in the direction of (24,10) with length 4

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Q: 4. Find a unit vector that is perpendicular to (5,6).

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Q: What are the components of vector a, given the following information

A: Components of a vector  :ax=|a|cosθay=|a|sinθNow Vectora→=ax,ay

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: Show that, û . ûm = 0, Use only the fact that û,is a unit vector. Interpret this result.

A: Here we need to prove that dot product of a unit vector and its derivative is zero. Here we use the…

Q: Two Electric field vectors E1 and E2 are perpendicular to each other; obtain its base  vectors.

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Q: Which of the following is a unit vector parallel to the vector?

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Q: (a) Using Gaussian elimination, find a vector v such that

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one.…

Q: The unit vector in 2-space that makes an angle of π/3 with the positive x-axis is _____

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Q: A three-dimensional unit vector parallel to the y-axis is

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Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: Let a = and b =. Show that there are scalars and t so that sa + tb =. You might want to sketch the…

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Q: Write a formula for a two-dimensional vector fie

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Q: What is the definition of the triple scalar product for vectors u, v, and w in ℝ3?

A: To Define: Scalar Triple Product for vectors u, v and w in ℝ3.

Q: Let ā= . Find a unit vector in the direction of a

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Q: Find the unit vector in the direction of v = (3, −1, 2), and verify that this vector has length 1.

A: Vector v = (3, −1, 2) Such that,

Q: Find the length of the vector. v = (-2, 0, 5, 1) %3D ||| M = %3D

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Q: Find a unit vector u with the same direction as vector v =

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Q: Find the vector of length v7 in the direction of AB + AC

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Q: Use Exercise 47 to show that if cos α, cos β, and cos γ are the direction cosines of a vector v,…

A: cos2α,cos2β and cos2γ are the direction cosines of the vector v

Q: Find the following vector. The vector in the direction of (24,10) with length 2

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Q: Find the unit vector u in the di rection of the vector v=2(2, 1, 2).

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Q: Determine a unit vector perpendicular to both A=i+2j-3k and B=-2i-3j+k

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Q: Let a be the vector of length 114 that when drawn in standard position makes a 165° angle with the…

A: Given:- Length of the vector, v= 114, angle is 1650Vector in component form:-(a1, a2)a1=v cos θa2=v…

Q: () 1 (b) Find the length of the component of the projection of the vector a = vector 6 = 2 () onto…

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Q: a. Please provide a well explained answer for the follwoing. And explain what are the components of…

A: Components of vector  In two dimensional ,any  vector can divide into two components x -…

Q: Find the unit vector of u=.

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Q: . Prove that (only one): E - 4y-V3ay is a unit vector? a- F 2 b- A = 6ax - 3a, + 2a, and B = 3a, +…

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Q: Let a = . Find a unit vector in the direction of a

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Q: Prove that the vectors u = (cos θ, −sin θ) and v = (sin θ, cos θ) are orthogonal unit vectors for…

A: Given Data The first vector is u=(cos θ, -sin θ). The second vector is v=(sin θ, cos θ).   The…

Q: what are the components of a vector? what if the initial point is not (0,0)? given a vector v and a…

A: A scalar is a real number. A scaler is a single, independent number.  A vector is a ordered…

Q: True/False: Vectors are completely determined by their magnitude. In contrast, scalars are…

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Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

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Q: Let å = . Find a unit vector in the direction of a

A: Givena→=⟨4,−3,−4⟩

Q: If a vector equation r(t)= have and the para metric equations are %3D Does this describe the same…

A: Vector equation is r⇀t=3+t, 5-2t,1-4t.

Q: Show that if A is both diagomalizable and invertible, then so is A-1. Find a unit vector in the…

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Q: How long is the vector v = (1, 1, ..., 1) in 9 dimensions? Find a unit vector u in the same…

A: Given: The vector v= (1, 1, 1, 1, 1, 1, 1, 1, 1).

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find Vw. w = 6 In V10x² + y² + 4z2 NOTE: Give your answer in unit vector notation; that is, in terms…

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Q: Find scalars s and t so that LU = A.

A: Given: A=2611, L=20t-2 and U=130s. To find scalars s and t so that LU=A. Solution: Finding LU.…

Q: . Find a unit vector in Let ā the direction of a -

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Q: Find a vector x whose image under T,

A: A=12541022011-4-9-21 ,b=12543-51The augmented matrix of the system is 12541022011-4-9-2112543-51now…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.