Translating a vector is sliding it parallel to the axes - without changing its magnitude or direction.
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The direction in which the trend analysis points.
A vector already points, without needing an extra. I wonder if you mean "Poynting Vector" which shows the direction and magnitude of power flow in radiation.
The magnitude of a vector is a geometrical value for hypotenuse.. The magnitude is found by taking the square root of the i and j components.
If vector a and b are truly identical, their resultant angle will be the same. Their resultant velocity will not be the same, however. Assuming you mean the magnitudes are the same, the two vectors will be at an angle of 120o
In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?