NEET Class neet Answered
explain
![question image](http://images.topperlearning.com/topper/new-ate/top_mob16561435895796080528c8d61af-3975-43f9-bfe8-bcd380848b46.jpg)
Asked by adititiwari601 | 25 Jun, 2022, 13:23: PM
![begin mathsize 14px style A with rightwards arrow on top equals space 6 space i with hat on top space plus space 6 space j with hat on top space minus space 3 space k with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/88df418ab819d5c1ef5f040cad7ffd81.png)
![begin mathsize 14px style B with rightwards arrow on top equals space 7 space i with hat on top space plus space 4 space j with hat on top space plus space 4 space k with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/168debf3efae16d7564088081ab83e9a.png)
angle θ between
and
is given as
![begin mathsize 14px style A with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/639c73046741125cfeb2fc30eff22313.png)
![begin mathsize 14px style B with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/9543f24d51b195c4f40909021855c5c9.png)
![begin mathsize 14px style cos theta space equals space fraction numerator A with rightwards arrow on top times B with rightwards arrow on top over denominator open vertical bar A with rightwards arrow on top close vertical bar space space open vertical bar B with rightwards arrow on top close vertical bar end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/8c0824612d3412446cbba4e56db1ab23.png)
![begin mathsize 14px style A with rightwards arrow on top times B with rightwards arrow on top equals space 42 plus 24 minus 12 space equals space 54 end style](https://images.topperlearning.com/topper/tinymce/cache/bd6f4f21a6c6faa5b15c6bd4a828a2d7.png)
![begin mathsize 14px style open vertical bar A with rightwards arrow on top close vertical bar space equals space square root of 36 plus 36 plus 9 end root space equals 9 end style](https://images.topperlearning.com/topper/tinymce/cache/fa412c86cb2b580f2339154a6b1a3548.png)
![begin mathsize 14px style open vertical bar B with rightwards arrow on top close vertical bar space equals space square root of 49 plus 16 plus 16 end root space equals 9 end style](https://images.topperlearning.com/topper/tinymce/cache/6969f490fe867f39831700d181f8f620.png)
cosθ = 54 /81 = 2/3
![begin mathsize 14px style sin theta space equals space square root of 1 minus cos squared theta end root space equals space square root of 1 space minus space open parentheses 2 over 3 close parentheses squared end root space equals fraction numerator square root of 5 over denominator 3 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/1519bb48e9f777d3723d5dbd988e70e1.png)
![begin mathsize 14px style theta space equals space sin to the power of negative 1 end exponent open parentheses fraction numerator square root of 5 over denominator 3 end fraction close parentheses end style](https://images.topperlearning.com/topper/tinymce/cache/58b6ebc5445f3d66e58e0efff523237a.png)
Answered by Thiyagarajan K | 25 Jun, 2022, 14:09: PM
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