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Question Find 3ū (5u - 7v) given that u v = 7, ||u|| = 3 and |||| : = 10.

Question Find 3ū (5u - 7v) given that u v = 7, ||u|| = 3 and |||| : = 10.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Question Find 3ū● (5u – 7v) given that u ● v = 7, ||u|| = 3 and |||| = 10. Solution Note: Enter u.u for u. u and leave a space between a constant and u. u (for example 7 u.u). We know ú● ú= v • v = We have (use the fact that u. u = = ||ū||²) (use the fact that v . v = = || || ²) 3ü • (5ü - 7v) (expand by using the distributive property of dot products) (write the numerical answer) (evaluate)
Transcribed Image Text:Question Find 3ū● (5u – 7v) given that u ● v = 7, ||u|| = 3 and |||| = 10. Solution Note: Enter u.u for u. u and leave a space between a constant and u. u (for example 7 u.u). We know ú● ú= v • v = We have (use the fact that u. u = = ||ū||²) (use the fact that v . v = = || || ²) 3ü • (5ü - 7v) (expand by using the distributive property of dot products) (write the numerical answer) (evaluate)
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