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Vector Algebra

Question
CBSEENMA12034071
Wired Faculty App

Find the angle between two vectors straight a with rightwards arrow on top space and space straight b with rightwards arrow on top with magnitude 1 and 2 respectively and such that straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 1

Solution

Here, 
a = 1,   b = 2,  straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 1
Let straight theta be the angle between two vectors.
Now,             straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 1 space space space space space space rightwards double arrow space space ab space cos space straight theta space equals space 1 space space space space rightwards double arrow space space space left parenthesis 1 right parenthesis thin space left parenthesis 2 right parenthesis space cos space straight theta space equals space 1
therefore space space cos space straight theta space equals space 1 half space space space space space space rightwards double arrow space space space straight theta space equals space 60 degree

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