If the direction vector of a line is 3˜i + 2˜j and the gradient of another line is −5/2, find the acute angle between the two lines.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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If the direction vector of a line is 3˜i + 2˜j and the gradient of another line is −5/2, find the acute angle between the two lines. 

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