Let →a=^i+^j+^k,→b=2^i+2^j+^k and →c=5^i+^j−^k be three vectors. The area of the region formed by the set of points whose position vector →r satisfy the equations →r.→a=5 and |→r−→b|+|→r−→c|=4 is closest to the integer

Let →a=^i+^j+^k,→b=2^i+2^j+^k and →c=5^i+^j−^k be three vector

1.	Let →a=^i+^j+^k,→b=2^i+2^j+^k and →c=5^i+^j−^k be three vectors. The area of the region formed by the set of points whose position vector →r satisfy the equations →r.→a=5 and \|→r−→b\|+\|→r−→c\|=4 is closest to the integer
Answer» Let $\to a =^i +^j +^k, \to b = 2^i + 2^j +^k$ and $\to c = 5^i +^j -^k$ be three vectors. The area of the region formed by the set of points whose position vector $\to r$ satisfy the equations $\to r . \to a = 5$ and $\| \to r - \to b \| + \| \to r - \to c \| = 4$ is closest to the integer