Rules for writing angle of a vector Watch

DeFreedomWey
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Hello, on a vectors question i have a resultant vector with direction 293 degrees when you start from East, 0 degrees, and move anticlockwise to North -> West -> South and then to East again.

I thought that was how you find the angle of a vector although my book is telling me this vectors' angle is -22.6 degrees, please may someone clarify what the rules are? 🙂
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mqb2766
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Can you post the question / answer?
(Original post by DeFreedomWey)
Hello, on a vectors question i have a resultant vector with direction 293 degrees when you start from East, 0 degrees, and move anticlockwise to North -> West -> South and then to East again.

I thought that was how you find the angle of a vector although my book is telling me this vectors' angle is -22.6 degrees, please may someone clarify what the rules are? 🙂
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DeFreedomWey
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(Original post by mqb2766)
Can you post the question / answer?
"Write each of the following vectors in magnitude-direction form:", the one I'm doing is "5i-12j" 🙂

Btw sorry if I wasn't clear enough 🙂
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mqb2766
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They have done
atan(-5/12)
to get -22.6.

The right answer is yours
atan(-12/5)
which is
-67.4

(Original post by DeFreedomWey)
"Write each of the following vectors in magnitude-direction form:", the one I'm doing is "5i-12j" 🙂

Btw sorry if I wasn't clear enough 🙂
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DeFreedomWey
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(Original post by mqb2766)
They have done
atan(-5/12)
to get -22.6.

The right answer is yours
atan(-12/5)
which is
-67.4
Thank you, although when should i put the minus in and when should i go from East anticlockwise? 🙂
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mqb2766
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You could say either -67 or 293 for a "normal" angle (not a bearing) where 0 is the x-axis or "i". Positive is anticlockwise, i.e. rotating from the x-axis "i" to the y-axis "j".

(Original post by DeFreedomWey)
Thank you, although when should i put the minus in and when should i go from East anticlockwise? 🙂
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DeFreedomWey
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(Original post by mqb2766)
You could say either -67 or 293 for a "normal" angle (not a bearing) where 0 is the x-axis or "i". Positive is anticlockwise, i.e. rotating from the x-axis "i" to the y-axis "j".
Thank you! 😄
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