Chapter 9: Q.29 (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.
role="math" localid="1646783809785" $P = (3, 2, - 1); Q = (5, 6, 0)$

Short Answer

Expert verified

The position vector is $ν = 2 i + 4 j + k$

Step by step solution

Step 1. Given data

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

Terminal point is $Q (x_{2}, y_{2}, z_{2}) = (5, 6, 0)$

Step 2. Position Vector

Use position vector formula

$ν = (x_{2} - x_{1}) i + (y_{2} - y_{1}) j + (z_{2} - z_{1}) k ν = (5 - 3) i + (6 - 2) j + (0 - (- 1)) k ν = 2 i + 4 j + k$

So position vector is $ν = 2 i + 4 j + k$

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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.
role="math" localid="1646783809785" $P = (3, 2, - 1); Q = (5, 6, 0)$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Position Vector

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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. role="math" localid="1646783809785" P=(3,2,-1);Q=(5,6,0)

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

Geometry

Calculus

Logic and Functions

Discrete Mathematics

Probability and Statistics

Statistics

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.
role="math" localid="1646783809785" $P = (3, 2, - 1); Q = (5, 6, 0)$