UNIT VECTOR-UNIT CIRCLE...... & THE ULTIMATE RELATIONSHIP IN BETWEEN
||/ \|| Thus, a unit circle is just the circle formed by any object which rotated but by keeping some magnitude...may that is its size, its speed, its distance from some point constant.
EXAMPLE OF UNIT VECTOR.
||/ \|| Imagine an aeroplane moving with a velocity of 700 m/s.....towards the North .
||/ \|| On the radar,....it is shown as a unit vector pointing towards the North.
||/ \|| Now lets say the aeroplane suddenly turns towars the North-west.
Now...it will be the same unit vector pointing towards the North-west.
||/ \|| Now lets say....our aeroplane starts moving towards the west
Again...its the same unit vector pointing towards the west
IF OUR AEROPLANE MOVES IN CIRCLES.....
||/ \|| On the radar screen......it will form a unit circle.
So, In General........
A Unit Circle is a unit vector rotating round and round confused .
By the way.....am sorry for the clumsy quality of the picture.
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I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it. However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it.
Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards.
They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life. Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.
The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.