QUESTION 7
Quaternion Dot Product.
Choose one $\cdot 5$ points
Calculate the dot product $q_{1} \cdot q_{2}$
if $q_{1}=[1,-2,1,3]$ and
\[
q_{2}=[1,3,2,0]
\]
$q_{1} \cdot q_{2}=\mathrm{u}$
$q_{1} \cdot q_{2}=-3$
$q_{1} \cdot q_{2}=3$

Answer

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Answer

Final Answer: $\boxed{-3}$

Steps

Step 1 ：The dot product of two quaternions is calculated by multiplying the corresponding components of the two quaternions and then adding them together.

Step 2 ：In this case, the dot product of $q_{1}$ and $q_{2}$ is calculated as follows: $q_{1} \cdot q_{2} = (1*1) + (-2*3) + (1*2) + (3*0)$

Step 3 ：So, the dot product of the two quaternions is -3.

Step 4 ：Final Answer: $\boxed{-3}$

QUESTION 7Quaternion Dot Product.Choose one $\cdot 5$ pointsCalculate the dot product $q_{1} \cdot q_{2}$if $q_{1}=[1,-2,1,3]$ and\[q_{2}=[1,3,2,0]\]$q_{1} \cdot q_{2}=\mathrm{u}$$q_{1} \cdot q_{2}=-3$$q_{1} \cdot q_{2}=3$

Answer

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QUESTION 7
Quaternion Dot Product.
Choose one $\cdot 5$ points
Calculate the dot product $q_{1} \cdot q_{2}$
if $q_{1}=[1,-2,1,3]$ and
\[
q_{2}=[1,3,2,0]
\]
$q_{1} \cdot q_{2}=\mathrm{u}$
$q_{1} \cdot q_{2}=-3$
$q_{1} \cdot q_{2}=3$