The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay = c. It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below. 2x + 5y = 3, 7x + 3y = 5 The angle is radians. (Type an exact answer, using as needed.) ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay = c. It is also true that the acute angle between intersecting lines
that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this
information to find the acute angle between the lines below.
2x + 5y = 3, 7x + 3y = 5
The angle is
radians.
(Type an exact answer, using as needed.)
Transcribed Image Text:The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay = c. It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below. 2x + 5y = 3, 7x + 3y = 5 The angle is radians. (Type an exact answer, using as needed.)
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