(a) Suppose u and v are known nonzero 3D vectors which are orthogonal to one another. Explain whether it is possible to find a unique 3D vector x satisfying x x u = v and u = ||u||. You do not need to explicitly write the components of x but should describe in detail how to obtain x from u and v. X•u = (b) In the specific case that u = (2,2, 1) and v = (1, –1,0), find x as in part (a). %3D

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A: From the given graph we can infer that v1=(2,1) and v2=(-1,3) and u=(4,5)B={v1,v2}AX¯=bHere…

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A: Let ,     f(x) = x2 + y2 - 2x. And D is closed triangular region, with vertices (2,0),(0,2),(0,-2).

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A: Step 1: Step 2: Step 3: Step 4:

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A: Given that  equation of the line is  y= mx + b…

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Q: Add the vectors ú (0, 3) and v = ( – 2, – 1) graphically.

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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.