-4] Question : For what value of "a" the vector v = 3 is linear a 3 combination of the vectors vị = -1|; v2 = -4 and v3 = 1 L-2] -7.

Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

Q: Q1/For the figure bellow: a- Write all vectors in vector pair form. i.e. b= (2,1). b- Write all…

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Q: What is the unit vector in the direction of v = ?

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Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = <5, 7> and v = <-5, 2> If x = <a, b> and y =<c, d>are two…

Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Let = PQ, where P = (1,4), Q = (-1,5). Using the following points, which pairs form vectors that are…

A: v→=PQ→P=(1,4)Q=(-1,5)PQ→=Q→-P→

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: 2. (a) (b) (c) Determine if the vectors are linearly independent. Justify your answer. and HNO 8…

A: We use definition of linearly independent vectors.

Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: what are the endpoints of vector v - u?

A: v = (-6,-7)u = (1,-3)

Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: True or false, justify your answer The vectors v1 =(2,1), v2 =(1,2) and v3= (5,7) are independent.

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Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: Consider the vectors Vị = 2 , V2 = V3 3 E R³. , V4 = Find the first vector in this list which is not…

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Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

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Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: (4) You are doing some calculations about a solar panel on the roof of a house as shown in the image…

A: Given: Let the given vectors are a→=-10, 0, 6=-10i^ + 0j^ +6k^b→=0, 4, 0=0i^ + 4j^ + 0k^s→=13, 23,…

Q: 2: True or false, the vectors u = (2, 4,-2) and U=(4, 8, -4) are parallel. Explain your answer.

A: We have given two vectors,Vectors having the same direction are called parallel vectors.Two vectors…

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.