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Question
Find the vector equation of the line passing through the point having position vector `4hat i - hat j + 2hat"k"` and parallel to the vector `-2hat i - hat j + hat k`.
Solution
Let `A(bar a) = 4 hat i - hat j + 2 hat k` and
`bar b = -2 hat i - hat j + hat k`
The vector equation of line passing through `A(bar a)` and parallel to vector `bar b` is
`bar r = bar a + lambda barb`
`bar r = (4hat i - hat j + 2hat k) + lambda (-2hat i - hat j + hat k)`
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