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State when the line vec(r) = vec(a) + la...

State when the line `vec(r) = vec(a) + lambda vec(b)` is parallel to the plane `vec(r).vec(n) = d. ` Show that the line `vec(r) = hat(i) + hat(j) lambda (3 hat(i) - hat(j) + 2 hat(k))` is parallel to the plane `vec(r).(2 hat(i) + hat(k) )` = 3. Also, find the distance between the line and the plane.

Text Solution

Verified by Experts

The correct Answer is:
`vec(b).vec(n) = 0 ; (1)/(sqrt(5))`.
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