Mathematics, 22.10.2019 02:00 breana758
Quaternions are a number system that extends to complex numbers discovered by william hamilton in 1843.
multiplication of quaternions is not commutative and is defined as the quotient of two vectors. they are useful in
three-dimensional rotation calculations for computer graphics. quaternions are formed the following way:
i2 = = k2 = iii = β1
multiplication by β1 and 1 works normally. we can represent all possible multiplications of quaternions through a
table:
Γ i k
i β1 k β
βk β1 i
k βi β1
a. is multiplication of quaternions commutative? explain why or why not.
b. is multiplication of quaternions associative? explain why or why not.
Answers: 1
Mathematics, 22.06.2019 01:00
Astudent drew a circle and two secant segment. he concluded that if pq ~= ps, then qr ~= st. do you agree with the studentβs conclusion? why or why not?
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Mathematics, 22.06.2019 01:40
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.
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Mathematics, 22.06.2019 03:30
Eric and shiloh each have a savings account. the ratio of ericβs account balance to shilohβs account balance is 4: 3. together they have a total of $140 in their accounts. use the tape diagram below to you determine the balance of ericβs account.
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