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Question
The line `vecr = 2hati - 3hatj - hatk + lambda(hati - hatj + 2hatk)` lies in the plane `vecr.(3hati + hatj - hatk) + 2` = 0.
Options
True
False
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Solution
This statement is False.
Explanation:
`vecn = 3hati + hatj - hatk`
`vecl = hati - hatj + 2hatk`
By using the theorem of perpendicular
⇒ `3 xx 1 + ((-1) + (-1)(2))`
⇒ `3 - 1 - 2`
= `2 - 2`
= 0
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