Real world uses for vectors would be plotting courses for boats and planning the construction of roads
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A well-designed model.
Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
Two vectors are identical when all their components are identical. An alternative definition, for vectors used in physics, is that they are identical when both the magnitude and the direction are identical.
Yes.
vectors help in determining the direction . they give the magnitude of the number as well as the direction of the quantity