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Vector P: 6 i + 2 j - 5 k

vector

magnitude of the component of vector P along the vector

= (6

= 18/5 - 8/5 = 2

component of vector P along vector Q: 2

vector

**3***Q:**- 4***i****j****= unit vector along***u**: (3***Q***- 4***i***) / √(3²+4²) = 3/5***j***- 4/5***i****j**magnitude of the component of vector P along the vector

*:***Q***= dot product of vector***P****and unit vector***P**u or***/|***Q**|.***Q**= (6

*+***i****2****- 5***j***) .***k**- 4/5***(3/5 i***)***j**= 18/5 - 8/5 = 2

component of vector P along vector Q: 2

*=***u***6/5 i - 8/5 j*