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Mobile App Chapter 9: Q. 3 (page 603)
A vector u for which = 1 is called a ______ vector.
Short Answer
A vector u for which |u|= 1 is called an unit vector.
Step by step solution
Step 1. Unit vector
A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude of 1 is a unit vector. It is also known as direction vector.
Unit vectors are usually determined to form the base of a vector space. Every vector in the space can be expressed as a linear combination of unit vectors. The dot products of two unit vectors is a scalar quantity whereas the cross product of two arbitrary unit vectors results in third vector orthogonal to both of them.
Step 2. Graph
As shown in the graph there is a vector AB whose magnitude is u which is equal to 1 .Hence this vector is known as a unit vector.
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