let a=2i+j-3k,b=i-2j+k then the point of intersection of the lines
Answers
Answered by
0
GIVEN :
Let a=2i+j-3k,b=i-2j+k
TO FIND :
The point of intersection of the lines
SOLUTION :
Given that a=2i+j-3k,b=i-2j+k
Then r x a = b x a
(r-b) x a = 0
r-b is ║ to "a"
∴
⇒
Similarly, we have that r x b = a x b can be written as
(r-a)x b=0
r-a is ║ to "b"
∴
⇒
The point of intersection of these two lines is
⇒
∴ the required point of intersection is
r = a+ b
= 2i+j-3k+i-2j+k
=3i-j-2k
∴ the required point of intersection is r=3i-j-2k
Similar questions
History,
4 months ago
Computer Science,
4 months ago
Accountancy,
4 months ago
Math,
9 months ago
Math,
1 year ago
Math,
1 year ago
English,
1 year ago