Introduction to 3DMedium
Question
The point P is the intersection of the straight line joining the points Q(2, 3, 5) and R(1, -1, 4) with the plane5x - 4y - z = 1. If S is the foot of the perpendicular drawn from the point T(2, 1, 4) to QR, then the lengthof the line segment PS is
Options
A.
B.√2
C.2
D.2√2
Solution
D. R. of QR is 1, 4, 1
Coordinate of P ≡
D. R. of PT is 2, 2, - 1
Angle between QR and PT is 45o
And PT = 1
⇒ PS = TS =
Create a free account to view solution
View Solution FreeMore Introduction to 3D Questions
If is the equation of the line through (1, 2, −1) and (−1, 0, 1), then (l, m, n) is -...The angle between the line and the plane 2x − 3y + z + 4 = 0 is...Points (1, 2, 3); (3, 5, 7) and (−1, −1, −1) are-...The point of intersection of the line and the plane 2x + 3y + z = 0 is -...The equation of the plane through (1, 2, 3) and parallel to the plane 2x + 3y − 4z = 0 is -...