The dot products of a vector with the vector and are 0, 5 and 8 respectively. Find the vector.


Let the unknown vector be:


∴


⇒ a + b - 3c = 0 …(1)



⇒ a + 3b - 2c = 5 …(2)



⇒ 2a + b + 4c = 8 …(3)


Solving equations 1 ,2,3, simultaneously we get:


a = 1,b = 2,c = 1


∴


Ans:


1
1