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.
No. Their magnitudes are equal (that's why they're "unit" vectors), but their directions are different.
Forces, velocities, accelerations.
An airplane flying in a specific direction at a specific speed.
Any measurement in which the direction is relevant requires vectors.
Typical uses of vectors include force, position, velocity, acceleration, torque, rotational movement, and others.
In real life unit vectors are used for directions, e.g east, north and up(zenith). The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
mountains?
There are elve months in a year.
In real life unit vectors are used for directions, e.g east, north and up. The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
they r used in the real time world
Vectors are used whenever there is a measurement in which not only the magnitude is relevant, but also the direction. Typical uses of vectors include position, velocity, acceleration, force, torque, and others.
Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.
The word 'vector' is from Latin, and means 'to carry'.