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'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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Q: How do you determine that two vectors are orthogonal?
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What is the difference between orthogonal and orthonormal vectors?

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.


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