'Orthogonal' just means 'perpendicular'.
You can establish that if neither vector has a component in the direction of the
other one, or the sum of the squares of their magnitudes is equal to the square
of the magnitude of their sum.
If you have the algebraic equations for the vectors in space or on a graph, then
they're perpendicular if their slopes are negative reciprocals.
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All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
The answer will depend on orthogonal to WHAT!
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)?
Given one vector a, any vector that satisfies a.b=0 is orthogonal to it. That is a set of vectors defining a plane orthogonal to the original vector.The set of vectors defines a plane to which the original vector a is the 'normal'.
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.