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Question
The vector equation of the line passing through the points (3, 5, 4) and (5, 8, 11) is `vec"r" = 3hat"i" + 5hat"j" + 4hat"k" + lambda(2hat"i" + 3hat"j" + 7hat"k")`
Options
True
False
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Solution
This statement is True.
Explanation:
The position vector of the points (3, 5, 4) and (5, 8, 11) are `vec"a" = 3hat"i" + 5hat"j" + 4hat"k", vec"b" = 5hat"i" + 8hat"j" + 11hat"k"`
Therefore, the required equation of the line is given by
`vec"r" = 3hat"i" + 5hat"j" + 4hat"k" + lambda(2hat"i" + 3hat"j" + 7hat"k")`
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