Asked by jane
what is 7-2i in trig form?
and
if u=3j and v=7i+j
what is the dot product of u times v
don't get this one because there are no i terms for u
thanks
and
if u=3j and v=7i+j
what is the dot product of u times v
don't get this one because there are no i terms for u
thanks
Answers
Answered by
drwls
I am not sure what you mean by the "trig form" of a complex number. The magnitude is sqrt(7^2 + 2^2) = sqrt53
The complex unit vector is e^(i*theta)
where theta = arcsin(-2/7) - -16.6 degrees or -0.29 radians
Thus 7 -2i = sqrt53*e^-0.29i
In the second questiuon, you seem to be talking about two-dimensional vectors, not complex numbers
The dot product is
u*v = 7*0 + 3*1 = 3
The complex unit vector is e^(i*theta)
where theta = arcsin(-2/7) - -16.6 degrees or -0.29 radians
Thus 7 -2i = sqrt53*e^-0.29i
In the second questiuon, you seem to be talking about two-dimensional vectors, not complex numbers
The dot product is
u*v = 7*0 + 3*1 = 3
Answered by
Reiny
Here is a nice webpage that shows how to do the first one, just follow their example #1 with your number.
For some strange reason, they use j instead of i to represent the complex component of the number.
As for your second question , how about
u = 0i + 3j, now you have an i-term.
For some strange reason, they use j instead of i to represent the complex component of the number.
As for your second question , how about
u = 0i + 3j, now you have an i-term.
Answered by
Reiny
silly me, forgot to include the link
http://www.intmath.com/complex-numbers/4-polar-form.php
http://www.intmath.com/complex-numbers/4-polar-form.php
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.