Find the coordinate vector of p(x) in P., relative to the basis S= {p,.P.-P;}, where p(x) = 3+6x-10x, P(x) = 2- 4x, p:(x) =x+3x,p; (x) = 4+ 6x

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Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

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A: here we get p=0

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A: Two vectors are said to be perpendicular to each other if and only if their dot product is zero.

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A: I am attaching image so that you understand each and every step.

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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.