#### Question

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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#### Solution

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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#### APPEARS IN

Solution for question: Find the angle between the lines r=3i+2j-4k+ λ(i+2j+2k) and r=5i-2k+μ(3i+2j+6k) concept: Acute Angle Between the Lines. For the courses HSC Science (Electronics), HSC Science (Computer Science), HSC Science (General) , HSC Arts