Q1-)A-) Find the distance from the point (0,1,1) to the line of intersection of the planes : x + 2y + z = 1 x - y + 2z = -8 Q1-)B-)Show that the following triangle whose vertices A(1, -1,0), B(4, -3, 1) and C(2, -4,5) is a right triangle by using vector concepts.

Q1-)A-) Find the distance from the point (0,1,1) to the line of intersection of the planes : x + 2y + z = 1 x - y + 2z = -8 Q1-)B-)Show that the following triangle whose vertices A(1, -1,0), B(4, -3, 1) and C(2, -4,5) is a right triangle by using vector concepts.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

Q1-)A-) Find the distance from the point
(0,1,1) to the line of intersection of the
planes :
x + 2y + z = 1
x - y + 2z = -8
Q1-)B-)Show that the following triangle
whose vertices A(1, -1,0), B(4, -3,1)
and C(2, -4 ,5) is a right triangle by using
vector concepts.

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