Write the vector equation of the plane, passing through the point $(a, b, c)$ and parallel to the plane $\to r \cdot (^i +^j +^k) = 2.$

Open in App

Solution

Equation of plane: $(\to r - \to a) . \to n = 0$
$\to r . (^i +^j +^k) = (a^i + b^j + c^k) . (^i +^j +^k)$
$\to r . (^i +^j +^k) = a + b + c$

Suggest Corrections

Similar questions

Find the equation of the plane passing through (a, b, c) and parallel to the plane

(a, b, c)

\to r \cdot (^i +^j +^k) = 2

Find the equation of the plane passing through the line of intersection of the planes and and parallel to x-axis.

(1, 2, 3)

\to r \cdot (^i -^j + 2^k) = 5

\to r \cdot (3^i +^j +^k) = 6

\to r \cdot (^i +^j +^k) = 6

\to r \cdot (2^i + 3^j + 4^k) = - 5

(1, 1, 1)

Join BYJU'S Learning Program