Question

Find the equation of the plane passing through (a, b, c) and parallel to the plane `vecr  * (hati + hatj + hatk)` = 2

Options

• `vecr * (hati + hatj + hatk) = a + b + c`

• `vecr * (hati + hatj) = a + b + c`

• `vecr * (hati + hatj + hatk) = a + b + c`

• `vecr * (0hari) = a`

Answer 1

`vecr * (hati + hatj + hatk) = a + b + c`

Explanation:

Any plane parallel to the plane `vecr * (hati + hatj + hatk) = lambda`

The plane passing through the point `ahati + bhatj + hatk = lambda`

`(ahati + bhatj + chatk) * (hati + hatj + hatk) = lamda` or `a + b + c = lambda`

Equation of required plane is `vecr * (hati + hatj + hatk) = a + b + c`