Question

`veca "पर " (vecb + vecc) ` का प्रक्षेप ज्ञात कीजिए जहाँ
` veca = (2hati - 2hatj + hatk), vecb = (hati + 2hatj - 2hatk) ` तथा
` vecc = (2 hati - hatj + 4hatk)`

Answer 1

माना ` (vecb + vecc) = (hati _ 2hatj - 2hatk) + (2hati - hatj + 4hatk)`
` = (1 + 2) hati + (2-1) hatj + (-2 + 4) hatk `
` ( 3hati + hatj + 2hatk)`
अब ` veca " पर" (vecb + vecc)` का प्रक्षेप `= ((vecb + vecc) . Veca)/(|veca|)`
`= ((3hati + hatj + 2hatk).(2hati - 2hatj + hatk))/(sqrt(2^(2) + (-2)^(2) + 1^(2)))`
` = (6 - 2 + 2)/(sqrt(9)) = (6)/(3) = 2`