Let V be an n-dimensional vector space. Define f: V→ R by f(v) = |v|". Let p,q E V.Find d fp(q).

Q: If is a smooth curve given by a vector function r(t) a < t < b and is a constant vector, show…

A: So we have;

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: Find a vector orthogonal to the line x+y=1

A:

Q: Let R be a differentiable vector-valued function such that R'(t) = (3t2, 2tvt2 + 1, 2t + 3) and R(1)…

A:

Q: Let y = 18 || = and u = 6 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂…

A: Given that                   y→=-4-3 and u→=66.

Q: 7. On a two-dimensional plane, sketch the vector |v>= such that it emanates from the coordinate…

A:

Q: Suppose a, b, and c are positive real numbers satisfying a2 = b2 + c2. r(t) =…

A:

Q: Prove the Sum and Difference Rules for vector functions.

A:

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

A:

Q: (t)i + f₂(t) j and B(t) = g(t)i + g2 (t) j, t = [0, 1], where f₁f2, 81, 82 are continuous function…

A:

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.