Exercise 1.3.5. Verify (by tedious computation or Maple) the following formula known as Lagrange's Identity: |v x w? = |v//w}? – (v - w)?. Exercises 1.3.6. Use the previous exercise to show that |v x w| = |v| |w| sin 0 where 0 is the angle between v and w. Note then that v x w = 0 if and only if v and w are parallel (i.e., w = av for a e R).
Exercise 1.3.5. Verify (by tedious computation or Maple) the following formula known as Lagrange's Identity: |v x w? = |v//w}? – (v - w)?. Exercises 1.3.6. Use the previous exercise to show that |v x w| = |v| |w| sin 0 where 0 is the angle between v and w. Note then that v x w = 0 if and only if v and w are parallel (i.e., w = av for a e R).
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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shold solve 1.3.6
Transcribed Image Text:Exercise+ 1.3.5. Verify (by tedious computation or Maple) the following formula known as
Lagrange's Identity:
|v x w? = |v|w? - (v. w)?.
Exercise 1.3.6. Use the previous exercise to show that
|v x w| = |v| |w| sin 0
where 0 is the angle between v and w. Note then that v x w = 0 if and only if v and w are parallel
(i.e., w = av for a e R).
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