title: Key to Geometry - Answers 1-3 (Bk. 1-3)
author: Patrick Suppes
description: The series of workbooks, Key to Geometry, gives students an opportunity to discover the relationships of geometry through experience with the tools fundamental to the creation of geometry: the compass and straightedge. Key to Geometry is presented in a careful sequence to be followed with very little intervention by the teacher. Even the answer book is intended to be used for self-checking by the student. These are the answers and notes for Books 1-3 in the Key to Geometry Series. Format: PaperbackPublisher: Key Curriculum Press
zlib_text: CHAP TER 
  1 
  Introduction 
  to Vectors 
  DPP 1 
  Vectors; Definition, Geometry Related to Vectors 
  (a) 1 
  1 
  () 
  Single Correct Answer Type 
  Let O be an interior point of AABC such that 
  1. Aline makes an angle Oboth with 1- and y-axes. 
  A possible range of 0is 
  OA +20B+30C=0, then the ratio of AABC 
  to area of AAOC is 
  (a) 2 
  3 
  (b) 
  (c) 3 
  d) 
  o 
  2. A line segment has length 63 and direction 
  ratios are 
  2 and 6. The components of line 
  vector 
  are 
  (a21 18, 54 
  c-18,-54 
  5. In a three-dimensional coordinate system, P, 
  and R are images of a point A(a, b, c) in the 
  x-y the y-z and the z-x planes respectively. If 
  Gis the centroid of triangle POR, then area of 
  triangle AOG is (0 is the origin) 
  (a) 0 
  (b) 27, -18, 54 
  (d)-27,-18,-54 
  (6) a* +b+c 
  (c)(a+ b+c*) (d) none of these 
  3 1a, b, and c are position vectors of A, B, and C 
  respectivelyofA4BCandif |a 
  - b| =4,|b 
  - el =2, 
  c-al = 3, then the distance between the 
  centroid and incentre of AABC is 
  6. ABCDEF is a regular hexagon in 