+91-87964 74404
FlagBACK
Question icon
Grade 11Vectors

Given lines x-4= y+5 = z-1 and x-2= y+1= z
2 4 -3 1 3 2
Statement 1 : The lines intersect
Statement 2 : They are not parallel
(A) Statement 1 is true, Statement 2 is true and Statement 2 is correct explanation for Statement 1
(B) Statement 1 is true,Statement 2 is true and Statement 2 is not the correct explanation for statement 1
(C) Statement 1 is true, Statement 2 is false
(D) Statement 1 is false, Statement 2 is true

Profile image of Satviki Pathak
11 Years agoGrade 11
Answers icon

1 Answer

Profile image of Yash Baheti
11 Years ago
Put both the equations equal to a constant value.
For ex k & m. Now find the values of x, y, z in terms of k & m.
For any value of k and m (same or different) if all the coordinates are same than they intersect otherwise not. Here they dont intersect.

Obviously they are not paralles as there direction cosines are not a common multiple of each other.

Other Related Questions on vectors

question mark
A body is rotating with an angular velocity of 2radians per second about the line joining (1, 2,3) and (2, 3,5) find the velocity of the particle of the body which is momentarily at (3, 5,6) 
 
vectors
1 Answer Available

Last Activity: 4 Years ago

question mark
Show that: vectorPQ+vectorPR+ vectorPS +vectorTP+vectorUP = 4PQ
Vector
vectors
1 Answer Available

Last Activity: 4 Years ago

question mark
Given that A×(B×C) = (A.C)B - ( A.B)C , deduce that (A×B)×C = (A.C)B - (B.C)A
vectors
1 Answer Available

Last Activity: 4 Years ago

question mark
the mean of 30 observations was 17 with sd2. later it was found that two of the observations were incorrect, which were recorded as 19vand 21.find the correct sd if the incorrect values are deleted and correct values 22 and 15 are included
vectors
1 Answer Available

Last Activity: 4 Years ago

question mark
Find the component of 2i +3j +k in the direction of 3i-j 
 
vectors
1 Answer Available

Last Activity: 4 Years ago