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Question
What will be the cartesian equation of the following plane. `vecr * (hati + hatj - hatk)` = 2
Options
`2x + 3y - 4x` = 1
`x + y - z` = 2
`x + 3y - z = 1/2`
`x + 2y - 3z` = 1
MCQ
Solution
`x + y - z` = 2
Explanation:
`vecr = xhati + yhatj + zhatk`
`vecr = (hati + hatj + hatk)` = 2
⇒ `(xhati + yhati + zhatk) * (hati + hatj - hatk)` = 2
⇒ `(x)(1) + (y)(1) + (z)(-1)` = 2
⇒ `x + y - z` = 2
Which is the required cartesian equation.
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