o Find anequation for the plane Hhrought(1,-1,3) parallel to the plane 3x+y+Z=7Find the engle betuween the planesメーリ+そ=5メ+29+そ=マO Find the distance from the point PC!,\,1)to the plane 2K-3y+77=1O Given that ACL,I,I), B(2,3,a) and c (2,2,0)OFind la) Such thet the triangle ABC isricht af A.O Find avector arthogorel to the plune of triangle ABC.O If R)= (t31) i+(t-1)j Find the time wherevelocity veclor Normed on acceleration vector

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Math

Geometry

O Find an equation for the plane Hhrought (1,-1, 3) parallel to the plane 3xay+Z=7

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 19EQ

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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

o Find an
equation for the plane Hhrought
(1,-1,3) parallel to the plane 3x+y+Z=7
Find the engle betuween the planes
メーリ+そ=5
メ+29+そ=マ
O Find the distance from the point PC!,\,1)
to the plane 2K-3y+77=1
O Given that ACL,I,I), B(2,3,a) and c (2,2,0)
OFind la) Such thet the triangle ABC isricht af A.
O Find a
vector arthogorel to the plune of triangle ABC.
O If R)= (t31) i+(t-1)j Find the time where
velocity veclor Normed on acceleration vector

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