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9. Find the value(s) of x such that the angle between the vectors (2, 1,-1) and (1, x, 0) is π/4.

9. Find the value(s) of x such that the angle between the vectors (2, 1,-1) and (1, x, 0) is π/4.

Advanced Engineering Mathematics
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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**Question 9: Angle Between Vectors** **Problem Statement:** Find the value(s) of \( x \) such that the angle between the vectors \( \langle 2, 1, -1 \rangle \) and \( \langle 1, x, 0 \rangle \) is \( \pi/4 \). This exercise focuses on determining the appropriate values for the variable \( x \) so that the specified angle between two given vectors is maintained. This involves applying knowledge of vector operations, including the dot product and the angle between vectors formula.
Transcribed Image Text:**Question 9: Angle Between Vectors** **Problem Statement:** Find the value(s) of \( x \) such that the angle between the vectors \( \langle 2, 1, -1 \rangle \) and \( \langle 1, x, 0 \rangle \) is \( \pi/4 \). This exercise focuses on determining the appropriate values for the variable \( x \) so that the specified angle between two given vectors is maintained. This involves applying knowledge of vector operations, including the dot product and the angle between vectors formula.
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