Mathematics
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OpenStudy (emilyjones284):
Find absolute value V and absolute value U+V, given that u=-16j and v=-5i-2j
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OpenStudy (amigatour):
The value of:
U=-16j
V=-5i-2j
What's your question?
You should ask questions. It sounds that you're testing people. LOL.
OpenStudy (emilyjones284):
The part where I said Find the... is my question haha. I dont know how to find it
ganeshie8 (ganeshie8):
absolute value of \(ai+bj\) is \(\sqrt{a^2 + b^2}\)
ganeshie8 (ganeshie8):
\(v = -5i - 2j\)
absolute value = \(\sqrt{(-5)^2 + (-2)^2}\)
ganeshie8 (ganeshie8):
simplify
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OpenStudy (emilyjones284):
so would I leave my answer as - square root of 29?
OpenStudy (emilyjones284):
and how would I find absolute value of U+V? Thats the part I'm having trouble with
ganeshie8 (ganeshie8):
yes absolute value of v is sqrt(29)
ganeshie8 (ganeshie8):
first find U+V
ganeshie8 (ganeshie8):
\(u=-16j\)
\( v=-5i-2j \)
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ganeshie8 (ganeshie8):
\(u + v = -16j - 5i - 2j\)
ganeshie8 (ganeshie8):
simplify
ganeshie8 (ganeshie8):
add like terms
ganeshie8 (ganeshie8):
\(u + v = - 5i - 18j\)
ganeshie8 (ganeshie8):
right ?
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OpenStudy (emilyjones284):
Yup thats what I got
ganeshie8 (ganeshie8):
take the absolute value of that
OpenStudy (emilyjones284):
So I don't have to do anything else? I remember it being more complex in my math class
OpenStudy (emilyjones284):
Ohhh
ganeshie8 (ganeshie8):
absolute value of \(-5i - 18j\) is ?
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OpenStudy (emilyjones284):
5i+18j?
ganeshie8 (ganeshie8):
no, this absolute value is different.
ganeshie8 (ganeshie8):
in vectors, absolute value means "distance"
ganeshie8 (ganeshie8):
absolute value of \(-5i - 18j\) is :
\(\sqrt{(-5)^2 + (-18)^2}\)
ganeshie8 (ganeshie8):
simplify
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OpenStudy (emilyjones284):
Ohhh sorry I got it now
ganeshie8 (ganeshie8):
good :)
OpenStudy (emilyjones284):
So square root of 349?
ganeshie8 (ganeshie8):
sqrt(349) is \(\large \color{red}{\checkmark}\)
OpenStudy (emilyjones284):
Cool! So that's all I need to do to get the answer?
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ganeshie8 (ganeshie8):
yes !
OpenStudy (emilyjones284):
Yay! Thank you!