HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
Account
It's free!

Share

Books Shortlist

# Solution - Find the angle between the lines r=3i+2j-4k+ λ(i+2j+2k) and r=5i-2k+μ(3i+2j+6k) - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

ConceptAcute Angle Between the Lines

#### Question

Find the angle between the lines barr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and barr=5 hati-2hatk+mu(3hati+2hatj+6hatk)

#### 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)

Is there an error in this question or solution?
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 (Computer Science), HSC Science (Electronics), HSC Arts, HSC Science (General)
S