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Find the shortest distance between the l...

Find the shortest distance between the lines given by the equations `vec r= (hat i - hat j + 2 hat k + lambda (2 hat i + hat j + 4 hat k)`, `vec r= (2 hat i - 4 hat j + hat k) + mu (3 hat i + hat j - 5 hat k)`.

A

`(phi)/(6)`

B

`(phi)/(4)`

C

`(phi)/(3)`

D

`(phi)/(2)`

Text Solution

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  15. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

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  16. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

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  17. Find the shortest distance between the lines whose equations are : vec...

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  18. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

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  19. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

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