Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u· v, u·u, and v · v. (Round your answers to fourdecimal places.)-(3음 금) v-(0 금)u =(a) the norms of u and vu| =I|v || =(b)a unit vector in the direction of v(c)a unit vector in the direction opposite that of u(d) u. v(e)(f) v. v

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ecimal places.) u- (3,) v- (0,) (a) the norms of u and v ||u| - ||v || = (b) a unit vector in the direction of v

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

Question

Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u· v, u·u, and v · v. (Round your answers to four
decimal places.)
-(3음 금) v-(0 금)
u =
(a) the norms of u and v
u| =
I|v || =
(b)
a unit vector in the direction of v
(c)
a unit vector in the direction opposite that of u
(d) u. v
(e)
(f) v. v

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