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प्रश्न
Find the angle between the lines `barr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk)` and `barr=5 hati-2hatk+mu(3hati+2hatj+6hatk)`
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उत्तर
Let `barb_1` and `barb_2` be the vectors in the direction of the lines
Let θ be the acute angle between the two given lines.
`therefore cos theta=(barb_1barb_2)/(|barb_1||barb_2|)=19/(3xx7)`
`therefore cos theta =19/21`
`theta=cos^-1(19/21)`
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