CBSE Class 12-science Answered
Find the shortest distance between the lines:
and
.
![](http://images.topperlearning.com/topper/questions/13422_image032.gif)
![](http://images.topperlearning.com/topper/questions/13422_image033.gif)
Asked by Topperlearning User | 25 Feb, 2015, 11:00: AM
The given equations can be written as
![r with rightwards arrow on top equals negative i with hat on top plus j with hat on top minus k with hat on top plus s open parentheses i with hat on top plus j with hat on top minus k with hat on top close parentheses space a n d space r with rightwards arrow on top equals i with hat on top minus j with hat on top plus 2 k with hat on top plus t open parentheses negative i with hat on top plus 2 j with hat on top plus k with hat on top close parentheses](https://images.topperlearning.com/topper/tinymce/cache/8f9fe8d4d1c10d558c1a53745d79e70f.png)
![therefore stack a subscript 1 with rightwards arrow on top equals negative i with hat on top plus j with hat on top minus k with hat on top comma space stack b subscript 1 with rightwards arrow on top equals i with hat on top plus j with hat on top minus k with hat on top
stack a subscript 2 with rightwards arrow on top equals i with hat on top minus j with hat on top plus 2 k with hat on top comma space b subscript 2 equals negative i with hat on top plus 2 j with hat on top plus k with hat on top
N o w space stack a subscript 2 with rightwards arrow on top minus stack a subscript 1 with rightwards arrow on top equals open parentheses i with hat on top minus j with hat on top plus 2 k with hat on top close parentheses minus open parentheses negative i with hat on top plus j with hat on top minus k with hat on top close parentheses equals 2 i with hat on top minus 2 j with hat on top plus 3 k with hat on top](https://images.topperlearning.com/topper/tinymce/cache/dc88d5f212e3f5554f13579cef20012e.png)
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/vimala/page11/saq_XII_13422.jpg)
Answered by | 25 Feb, 2015, 13:00: PM
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