## What is quaternion used for?

Unit quaternions, known as versors, provide a convenient mathematical notation for representing spatial orientations and rotations of elements in three dimensional space. Specifically, they encode information about an axis-angle rotation about an arbitrary axis.

**What is a quaternion in coding?**

Quaternions are defined by a scalar (real) part, and three imaginary parts collectively called the vector part. Quaternions are often used in graphics programming as a compact representation of the rotation of an object in three dimensions.

**How many is a quaternion of soldiers?**

four persons

a group or set of four persons or things.

### What are the values of a quaternion?

“A quaternion is basically an axis in 3D space with a angle of rotation around the axis. Four values make up a quaternion, namely x, y, z and w. Three of the values are used to represent the axis in vector format, and the forth value would be the angle of rotation around the axis.”

**Why are quaternions 4D?**

Why is quaternion algebra 4D and not 3D? Complex algebra is 2D and what is known as quaternion algebra jumps to 4D. Using 1,i,j, and k as the base (where complex uses 1 and i (or j if you are an EE)) which results in a 4-axis space.

**What is quaternion value?**

A quaternion can represent a 3D rotation and is defined by 4 real numbers. x, y and z represent a vector. w is a scalar that stores the rotation around the vector.

## Why are quaternions better?

Quaternions are very efficient for analyzing situations where rotations in R3 are involved. A quaternion is a 4-tuple, which is a more concise representation than a rotation matrix. Its geo- metric meaning is also more obvious as the rotation axis and angle can be trivially recovered.

**Why do games use quaternions?**

Quaternions are mainly used in computer graphics when a 3D character rotation is involved. Quaternions allows a character to rotate about multiple axis simultaneously, instead of sequentially as matrix rotation allows.

**What is a quaternion of Roman soldiers?**

A group of four soldiers in the Roman legion.

### How many is 4 squads of soldiers?

A 2nd lieutenant commands a platoon, which is comprised of three to four squads (18-50 soldiers).

**Why do quaternions have 4 components?**

Four values make up a quaternion, namely x, y, z and w. Three of the values are used to represent the axis in vector format, and the forth value would be the angle of rotation around the axis.” So you could think of it as the rotation of the rotation, in simple terms!

**How to use a quaternion to control a camera?**

v → w → {\\displaystyle {\\vec {v}} {\\vec {w}}} is the resulting quaternion,

## Do quaternions really perform rotations?

You can use quaternions to perform 3-D point and frame rotations. With point rotations, you rotate points in a static frame of reference. With frame rotations, you rotate the frame of reference around a static point to convert the frame into the coordinate system relative to the point.

**How to think about quaternions?**

Quaternions and 3d rotation. One of the main practical uses of quaternions is in how they describe 3d-rotation.

**What in the world is a quaternion Slerp?**

“In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that multiplication of two quaternions is noncommutative.” Uh huh…