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Quaternion Calculator

Quaternion Calculator

I want to calculate:

Sum Difference Product Quotient Magnitude Conjugate Inverse Matrix representation Quaterion of rotation vector rotation

q₁ = a + bi + cj + dk

Real part (a):

The i coefficient (b):

The j coefficient (c):

The k coefficient (d):

q₂ = e + fi + gj + hk

Real part (e):

The i coefficient (f):

The j coefficient (g):

The k coefficient (h):

Vector defining the axis of rotation: V_a = (X_a , Y_a , Z_a)

The x coordinate (X_a):

The y coordinate (Y_a):

The z coordinate (Z_a):

Angle of rotation

Angle (θ):

Vector to be rotated: V = (X_v , Y_v , Z_v)

The x coordinate (X_v):

The y coordinate (Y_v):

The z coordinate (Z_v):

Vector defining the axis of rotation: V_a = (X_a , Y_a , Z_a)

The x coordinate (X_a):

The y coordinate (Y_a):

The z coordinate (Z_a):

Angle of rotation

Angle (θ):

Calculate Reset

Result

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Step by step solution:

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