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Question
The vector equation of the line passing through `4hati - hatj + 2hatk` and parallel to `-2hati - hatj + hatk` is ______
Options
`overliner = (4hati - hatj + 2hatk) + lambda(-2hati - hatj + hatk)`
`overliner = (4hati + hatj + 2hatk) + lambda(-2hati - hatj + hatk)`
`overliner = (4hati - hatj + 2hatk) + lambda(2hati - hatj + hatk)`
`overliner = (4hati - hatj + 2hatk) + lambda(2hati + hatj + hatk)`
Solution
The vector equation of the line passing through `4hati - hatj + 2hatk` and parallel to `-2hati - hatj + hatk` is `underline(overliner = (4hati - hatj + 2hatk) + lambda(-2hati - hatj + hatk))`
Explanation:
Vector equation of the line passing through `overlinea` and parallel to `overlineb` is
`overliner = overlinea + lambdaoverlineb`
∴ `overliner = (4hati - hatj + 2hatk) + lambda(-2hati - hatj + hatk)`
