Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3, 4), и, —D(-2,-3,- 4), (The End)

Q: Determine whether or not the given two vectors are parallel.u =〈-3, 1, 4〉, v =〈6, -2, 8〉

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Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Show that the vector a=(-1,13, – 5)can be written as a linear combination of b = (1, 4, – 2) and c=…

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Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: Show that the vectors below are independent. 1 3 3 3 5 3

A: The given vectors are 123,  -1-15   and  333. Compute the determinant of matrix formed by these…

Q: Q1:The following vectors; Ā =, B =< 2,-4,6

A: To find the cross product of the vectors  A⇀×B⇀=ijk14-12-46 simplify…

Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: If two vectors ? = 4i+ 6j- 8k and ? = 6? − 8? + 4? ar

Q: Find the magnitude of the vectors represented 5 3 1 by (a) (b) |³| (c) 12 4 3 LO 5 1

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. = (4, 5, -2), v = (3,…

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Q: 4. Subtract the vectors shown. (blue - green)

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Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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Q: sketch the vectors AB and PÓ, and determine whether they are equivalent. А %3 (1,4), В %3 (-6, 3),…

A: Given points are: A=1,4 ; B=-6,3 ; P=1,4 ; Q=6,3 We have to determine whether the vectors AB→ and…

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: Find the components of the vector PP2. P1(4, 5, 5), P2( 7, 10, 7) PP2 =( i

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Q: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: For the given vectors u and v , find the value of ū ·i and normalize 1. u = (2,7,-1,20), v =…

A: Dot product and addition of two vectors is given by u→.v→=u1,u2,u3,u4.v1,v2,v3,v4=u1×v1, u2×v2,…

Q: If vector v is represented by an arrow, how is -3v represented?

A: Given: If vector v is represented by an arrow. To find: How is -3v represented?

Q: Two vectors are equivalent if they have the same _______ and _________.

A: Two vectors are equal if they have same magnitude and same direction. If we have a vector u=3i+4j…

Q: Find 2?, −3?, ? + ?, and 3? − 4? for the given vectors ? and ?. ? = (−2, 4) , ? = (4, −2) 2u=____…

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Q: Determine R21, the vector from P2(5, 2,–4) to P1 (3, –1,0). 2аx + Зау — 4а, — 2ах — Зау + 4a, | 4ах…

A: Given the points P25,2,-4 and P13,-1,0. To find vector R21 from above two points. The vector from…

Q: Write the vector (1, 2, –1) as a linear combination (if possible) as of the vectors (-1,2, 1), (2,…

A: Solution: The objective is to determine whether the given vector is linear combination of the given…

Q: Use the vectors a = [-1,0,1], b = [1,-1,5], and č= [0,-1,-2] to prove that a(bxč) # (åxb)xč

A: The answer is given below:

Q: Find the vector v = PQ. Р- (2, 1,4) Q = (-8.25, -4.25, 8) v =

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Q: Find a vector perpendicular to d = [5,–4,6] and h = [-1,3,9].

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Q: Find the sum of the given vectors. а - (5, -1), ь - (-1, 8) a +b = 4,7 Illustrate geometrically. y

A: We have

Q: Determine whether or not the given two vectors are parallel.u =〈4, 2, -6〉, v =〈2, -1, 3〉

A: To determine whether or not the given two vectors are parallel.u=4,2,-6 and v=2,-1,3 By definition,…

Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

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Q: Find the "unit vector" for (3, 8)

A: The magnitude of a unit vector is 1 .

Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

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Q: Find two linearly independent vectors perpendicular to the w 41 -6- 1

A: Given: vector is v→=4-91 we have to find the two linear independent vectors perpendicular the given…

Q: write the given vector in terms of I and J. u={-8, 10} u=???

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Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: Find a unit vector that has the same direction as the given vector. (-8, 8, 4)

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Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

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Q: Find the dot product of the given vectors. Round to two decimal places. = 21, 155"; = 10, 96"

A: given:- magnitude of vector u=21 angle of vector u= 155 magnitude of vector v=10 angle of vector v=…

Q: Find the indicated vector. Let u - (-3,-7) --8, -1). Find -2u - 3v.

A: To find -2u-3v :

Q: . CALCULATE the CROSS product for each of the following pairs of vectors, AND VERIFY your answer by…

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Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: Use the given vectors to compute u + v, u- v, and 3u - 5v. u = (2, -6), v = (4, 5) u + v = u - v =…

A: We will use the usual inner product for the compute the required vectors

Q: The number of elements in a vector generated by [4:0.1:13] is

A: We have to find the number of elements in a vector generated by  [4 : 0.1 : 13].

Q: Use the given vectors to compute u + v, u – v, and 2u u = (4, -3), v = (7, 9) u + v = u - v = 2u -…

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Q: Suppose that the vectors below have the following components: a= 6= č= What is the exact value of

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

Q: Let a and b be vectors on R³. Suppose a = (-2, 3, 482+ 1) and b = ( 8 + 1, -2, 4) What must be the…

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Q: the vector from P1(1, 3) to P2(4, –2) is

A: Given :

Q: Are the Following Vectors Linearly Dependent or Independent? (3,-2,0,4),(5,0,0,1),(-6,1,0,1),…

A: Vectors v1, v2, v3,..........vn are linearly independent if for scalars c1, c2, c3,.........,cn such…

Q: ) Find the cross product of the given vectors e = (6,-2,3) and f= (2,5,-1).

A: Given that  e= (6,-2,3) and f= (2,5,-1). We find vector cross product of this given vector.…

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.