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Question
If `veca = 4hati + 6hatj` and `vecb = 3hatj + 4hatk`, then the vector form of the component of `veca` along `vecb` is ______.
Options
`18/5(3hati + 4hatk)`
`18/25(3hatj + 4hatk)`
`18/5(3hati + 4hatk)`
`18/25(4hati + 6hatj)`
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Solution
If `veca = 4hati + 6hatj` and `vecb = 3hatj + 4hatk`, then the vector form of the component of `veca` along `vecb` is `underlinebb(18/25(3hatj + 4hatk))`.
Explanation:
Vector component of `veca` along `vecb` = `((veca.vecb)/|vecb|^2)vecb = 18/25(3hatj + 4hatk)`.
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