Solved: In the context of a game development project, you are working with a quaternion that represents the orientation of a 3 D object. The quaternion is denoted as q = a + b i + c j + d k . The quaternion q in your game has the following components:

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In the context of a game development project, you are working with a quaternion that represents the orientation of a 3D object. The quaternion is denoted as q=
a+bi+cj+dk. The quaternion q in your game has the following components:
Real part (a)=0.7
i component (b)=0.1
j component (c)=0.5
k component (d)=0.3
Calculate the magnitude of the quaternion, ||q||, is 1521.
Then interpret the result in the context of game development. Briefly explain how the magnitude of the quaternion relates to the orientation and behaviour of a 3D object in a game and why it is significant.

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