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Equation of the plane that contains the ...

Equation of the plane that contains the lines `r=(hat(i)+hat(j))+lambda(hat(i)+2hat(j)-hat(k)) and , r=(hat(i)+hat(j))+mu(-hat(i)+hat(j)-2hat(k))` is

A

`rcdot(2hat(i)+hat(j)-3hat(k))=-4`

B

`rtimes(-hat(i)+hat(j)+hat(k))=0`

C

`rcdot(-hat(i)+hat(j)+hat(k))=0`

D

None of these

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The correct Answer is:
(c)
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The length of the perpendicular drawn from the point (2,1,4) to the plane containing the lines vec r=(hat i+hat j)+lambda(hat i+2hat j-hat k) and vec r=(hat i+hat j)+mu(-hat i+hat j-2hat k) is:

Show that the lines vec(r ) =(hat(i) -hat(j)) +lambda (2hat(i)+ hat(k)) " and " vec(r ) =(2hat(i) -hat(j)) + mu (hat(i)+ hat(j) -hat(k)) do not intersect .

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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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