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The plane vecr cdot vecn = q will cotain...

The plane `vecr cdot vecn = q` will cotain the line `vecr = veca + lambda vecb` if

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The plane vecr cdot vecn = q will contain the line vecr = veca + lambda vecb if

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Find the equation of a straight line in the plane vecr.vecn =d which is parallel to vecr = veca + lamda vecb and passes through the foot of the perpendicular drawn from point P (veca) to vecr.vecn=d (where vecn .vecb=0).

State the condition for which the line vecr=veca+lambda vecb is parallel to the plane vecr. vecn=d . Prove that the line vecr=(hati+ hatj)+ lambda (2 hati+ hat j+4 hatk) is parallel to the plane vec r.(-2 hati+ hatk)=5 . Also , find the distance between the line and the plane.

The line vec r = veca+lambda vec b will not meet the plane vecr. vecn= vecq , if___