Find the shortest distance between the lines whose vector equations are. NCERT P Bahadur IIT-JEE Previous Year Narendra Awasthi MS Chauhan. Q7. Find the shortest distance between the lines $(-1,1,4) + t(1,1,-1)$ and $(5,3,-3) + s(-2,0,1)$ Any help would be Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Ex 11.2, 14 Find the shortest distance between the lines ⃗ = ( ̂ + 2 ̂ + ̂) + ( ̂ − ̂ + ̂) and ⃗ = (2 ̂ − ̂ − ̂) + (2 ̂ + ̂ + 2 ̂) Shortest distance between the lines with vector equations ⃗ = (1) ⃗ + (1) ⃗and ⃗ = (2) ⃗ + (2) ⃗ is This can be done by measuring the length of a line that is perpendicular to both of them. Find the shortest distance between the lines: ` vec r=6 hat i+2 hat j+2 hat k+lambda\ ( hat i-2 hat j+2 hat k)` and ` vec r=-4 hat i- hat k+mu\ (3 hat i-\ 2 hat j-\ 2 hat k)` Books. Add your answer and earn points. a2→-a1→×b→b→=2937units. Answer : (i) r→=i^+2j^+k^+λi^-j^+k^ and r→=2i^-j^-k^+μ2i^+j^+2k^ Comparing the given equations with the equations r→=a1→+λb1→ and r→=a2→+μb2→, we get find the shortest distance between the given lines r i 2j 4k 2i 3j 6k r 3i 3j 5k 2i 3j 3k the answer given in the book is 14 241 units - Mathematics - TopperLearning.com | llsvfrbb The shortest distance between two parallel lines is equal to determining how far apart lines are. We may derive a formula using this approach and use this formula directly to find the shortest distance between two parallel lines. Find the shortest distance between the lines rijijkandrijkijkr¯=(4i^-j^)+λ(i^+2j^-3k^)andr¯=(i^-j^+2k^)+μ(i^+4j^-5k^) Find the shortest distance between the lines r = i+2j+3k + lambda (2i+3j+4k) and r = 2i+4j+5k+t(3i+4j+5k) 1 See answer dukisyrti6570 is waiting for your help. Find the shortest distance between two lines whose vector equations are r = (i ^ + 2 j ^ + 3 k ^) + β (i ^ − 3 j ^ + 2 k ^) and r (4 i ^ + 5 j ^ + 6 k ^) + μ (2 i ^ + 3 j ^ + k ^). View solution The shortest distance between the lines whose equations are r = t ( i ^ + j ^ + k ^ ) and r = k ^ + s ( i ^ + 2 j ^ + 3 k ^ ) is (ii) Find the shortest distance between the lines \(\bar{r}\) = i + 2j + 3k + λ(i + j + k) and \(\bar{r}\) – i + j + k + µ(i + j + k) (March – 2017) Answer: Plus Two Maths Three Dimensional Geometry 6 Marks Important Questions Example, 9 Find the angle between the pair of lines given by = 3 + 2 – 4 + ( + 2 + 2 ) and = 5 – 2 + (3 + 2 + 6 ) Angle between two line = 1 + 1 & = 2 + 2 is given by cos θ = 1 . NCERT DC Pandey Sunil Batra HC Verma Pradeep Errorless. The shortest distance between the two lines is given by. Physics. Transcript. ShaikJavidbasha ShaikJavidbasha Answer: Step-by-step explanation: New questions in Math. r = i + 2j + 3k + λ(i – 3j + 2k) and r = 4i + 5j + 6k + μ(2i + 3j + k) Answer: The equations of the given lines are: r = i + 2j + 3k + λ(i – 3j + 2k) and r = 4i + 5j + 6k + μ(2i + 3j + k) It is known that the shortest distance between the lines r … Find the equation of shortest distance between the lines r = (4i - j ) + s (i + 2j - 3k ) and r = ( i - j + 2k ) + t ( 2i + 4j - 5k) - Math - Three Dimensional Geometry Find the shortest distance between lines vector r =6i+2j+2k+λ (i-2j+2k) and vector r=4i-k+μ(3i-2j-2k) and asked Jan 25, 2018 in Mathematics by sforrest072 ( 128k points) three dimensional geometry Chemistry.