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Question
The cartesian equation of the plane `vecr * (hati + hatj - hatk)` is ______.
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Solution
The cartesian equation of the plane `vecr * (hati + hatj - hatk)` is x = 1, y = z.
Explanation:
Putting `vecr = xhati + yhatj + zhatk` in the given equation
`xhati + yhatj + zhatk = (hati + hatj + hatk) + lambda(hatj + hatk)`
∴ `xhati + yhatj + zhatk = hati + (1 + lambda)hatj + (1 + lambda)hatk`
∴ x = 1, y = 1 + λ, z = 1 + λ
∴ x = 1, y = z
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