Chapter 9: Q. 30 (page 621)

In Problems, the vector v has initial point P and terminal point Q. Write v in the form $a i + b j + c k$ ; that is, find its position vector.
localid="1646771777507" $P = (- 3, 2, 0); Q = (6, 5, - 1)$

Short Answer

Expert verified

The position vector is $ν = 9 i + 3 j - 1 k$

Step by step solution

Step 1. Given data

Initial point is $P (x_{1}, y_{1}, z_{1}) = (- 3, 2, 0)$

Terminal point is $Q (x_{2}, y_{2}, z_{2}) = (6, 5, - 1)$

Step 2. Position Vector

Use position vector formula

$ν = (x_{2} - x_{1}) i + (y_{2} - y_{1}) j + (z_{2} - z_{1}) k ν = (6 - (- 3)) i + (5 - 2) j + (- 1 - 0) k ν = 9 i + 3 j - 1 k$

So position vector is $ν = 9 i + 3 j - 1 k$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In Problems, the vector v has initial point P and terminal point Q. Write v in the form $a i + b j + c k$ ; that is, find its position vector.
localid="1646771777507" $P = (- 3, 2, 0); Q = (6, 5, - 1)$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Position Vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In Problems, the vector v has initial point P and terminal point Q. Write v in the formai+bj+ck; that is, find its position vector.localid="1646771777507" P=(-3,2,0);Q=(6,5,-1)

Short Answer

Step by step solution

Step 1. Given data

Step 2. Position Vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In Problems, the vector v has initial point P and terminal point Q. Write v in the form $a i + b j + c k$ ; that is, find its position vector.
localid="1646771777507" $P = (- 3, 2, 0); Q = (6, 5, - 1)$