A plane P:ax+by+cz=1 passes through the intersection of planes →r⋅(^i+^j+^k)=−3 and →r⋅(^i−^j+^k)=2. If plane P divides the line segment joining M(3,0,2) and N(0,3,−1) in the ratio 2:1 internally, then (a+b+c) is equal to

A plane P:ax+by+cz=1 passes through the intersection of planes →r⋅

1.	A plane P:ax+by+cz=1 passes through the intersection of planes →r⋅(^i+^j+^k)=−3 and →r⋅(^i−^j+^k)=2. If plane P divides the line segment joining M(3,0,2) and N(0,3,−1) in the ratio 2:1 internally, then (a+b+c) is equal to
Answer» A plane $P : a x + b y + c z = 1$ passes through the intersection of planes $\to r \cdot (^i +^j +^k) = - 3$ and $\to r \cdot (^i -^j +^k) = 2.$ If plane $P$ divides the line segment joining $M (3, 0, 2)$ and $N (0, 3, - 1)$ in the ratio $2 : 1$ internally, then $(a + b + c)$ is equal to