4. Define unit vector
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A vector which has magnitude for one is known as Unit vector!
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unit vector is often denoted by a lowercase letter with a circumflex, or "hat": {\displaystyle {\hat {\imath }}} {\hat {\imath }} (pronounced "i-hat"). The term direction vector is used to describe a unit vector being used to represent spatial direction, and such quantities are commonly denoted as d. Two 2D direction vectors, d1 and d2 are illustrated. 2D spatial directions represented this way are numerically equivalent to points on the unit circle.
The same construct is used to specify spatial directions in 3D. As illustrated, each unique direction is equivalent numerically to a point on the unit sphere.
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