Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 1, (u, w) = 5, (v, w) = 0, ||u|| = 1, ||v|| = v3, ||w|| = 2. %3D Show that u +v = w.

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A: Given,u=4v=5, andu,v=2,   thenu+v=5

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A: This question is about application of linear algebra

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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.