Chapter 9: Q. 34 (page 603)

In Problems, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
$P = (1, 1); Q = (2, 2)$

Short Answer

Expert verified

$v = (3, 3) P o s i t i o n v e c t o r = 3 i + 3 j$

Step by step solution

Step1. Given information

initial point P

terminal point Q

these points represent a plane, there let's assume unit vector $i$ in the positive x-axis, and $j$ in the positive y-direction

step2. Calculating the vector

$P (1, 1) = i + j Q (2, 2) = 2 i + 2 j$

it is given that vector v contains initially point P and terminal points Q, so

v=P+Q

$v (x, y) = P (1, 1) + Q (2, 2) v = (3, 3) i n v e c t o r f o r m v = (1 + 2) i + (1 + 2) j v = 3 i + 3 j$

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In Problems, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
$P = (1, 1); Q = (2, 2)$

Short Answer

Step by step solution

Step1. Given information

step2. Calculating the vector

One App. One Place for Learning.

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In Problems, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.P=1,1;Q=2,2

Short Answer

Step by step solution

Step1. Given information

step2. Calculating the vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Logic and Functions

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
$P = (1, 1); Q = (2, 2)$