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Mathematics 18 Online
OpenStudy (anonymous):

Find the angle between the given vectors to the nearest tenth of a degree: U=4i + 5j, V=7i - 4j

OpenStudy (amistre64):

teh angle between vector is: cos(t) = U*V/|U||V|

OpenStudy (amistre64):

<4, 5> <7,-4> -------- 28 -20 = 8; so the top is 8;

OpenStudy (amistre64):

sqrt(16+25) * sqrt(49 + 16) is the bottom

OpenStudy (amistre64):

8 ----------; take the cos^-1 to get the angle sqrt(41*65)

OpenStudy (amistre64):

if its greater than the cos^1(7/sqrt(65)) you need to adjust for a different quadrant

OpenStudy (anonymous):

Wow, I did this problem like twice and couldn't get it, I put the wrong number in for the second i.....lol Thanks a bunch!!!

OpenStudy (anonymous):

It's 81.1 deg

OpenStudy (amistre64):

angle = 81.08; but check the other one :)

OpenStudy (amistre64):

that angle seems larger than ....your right, my senility kicked in for a moment lol

OpenStudy (anonymous):

XD

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