Writing a Linear Combination of UnitVectors In Exercises 51–54, the initial andterminal points of a vector are given. Writethe vector as a linear combination of thestandard unit vectors i and j.Initial Point Terminal Point51. (−2, 1) (3, −2)52. (0, −2) (3, 6)53. (0, 1) (−6, 4)54. (2, 3) (−1, −5)

Q: Y1 Let i = and w = be vectors in R. Compute the following. 42 43 i + w = Preview Preview Preview

A: The given vectors are v→=x1x2x3 and w→=y1y2y3.

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A: Let a and b be real numbers. To find all vectors 3, a, b orthogonal to 6,-8, -7.

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

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Q: Linear Algebra: Explain the term "Vector and scalar" giving example to support your answer.

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Q: Write -2 | as a linear combination of the vectors 5 -5 -2 5 = 5+ 0 0 ୦-୦ + 4 --[3][[] 5 1 1

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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.