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प्रश्न
Find the projection of the vector `hati + 3hatj + 7hatk` on the vector `7hati - hatj + 8hatk`.
उत्तर
Let `veca = hati + 3hatj + 7hatk` तथा `vecb = 7hati - hatj + 8hatk`
Example of `veca` on `vecb`
`= (veca xx vecb)/(|vecb|)`
`= ((hati + 3hatj + 7hatk)(7hati - hatj + 8hatk))/(|7hati - hatj + 8hatk|)`
`= (1.7 + 3(-1) + 7.8)/(sqrt(7^2 + (-1)^2 + 8^2))`
`= (7 - 3 + 56)/(sqrt(49 + 1 + 64))`
`= 60/sqrt114`
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