## What are vectors in trigonometry?

A vector is essentially a line segment in a specific position, with both length and direction, designated by an arrow on its end. The figures below are vectors. A vector has length and direction, that is all. Two vectors with the same length and direction are the same vector.

## What is trigonometry physics?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles. It is used extensively in science. The basic trigonometric functions are sine, cosine and tangent.

**How do you write a unit vector?**

The unit vectors of a vector are directed along the axes. Unit vectors in 3-d space can be represented as follows: v = x^ + y^ + z^. In the 3-d plane, the vector v will be identified by three perpendicular axes (x, y, and z-axis). In mathematical notations, the unit vector along the x-axis is represented by i^.

**How to find the unit vector in the rectangular coordinate system?**

The unit vector in the same direction of any nonzero vector is found by dividing the vector by its magnitude. The magnitude of a vector in the rectangular coordinate system is See (Figure).

### How do you find the scalar multiple of a vector?

In the rectangular coordinate system, unit vectors may be represented in terms of and where represents the horizontal component and represents the vertical component. Then, v = a i + b j is a scalar multiple of by real numbers See (Figure) and (Figure).

### How to distinguish between a vector and a scalar quantity?

Analytical methods are more simple computationally and more accurate than graphical methods. From now on, to distinguish between a vector and a scalar quantity, we adopt the common convention that a letter in bold type with an arrow above it denotes a vector, and a letter without an arrow denotes a scalar.

**What is a unit vector in physics?**

Unit vectors are defined in terms of components. The horizontal unit vector is written as and is directed along the positive horizontal axis. The vertical unit vector is written as and is directed along the positive vertical axis. See (Figure). Figure 14.