Chapter 9: Q. 29 (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.
$P = (3, 2); Q = (5, 6)$

Short Answer

Expert verified

v = $(2 i + 4 j)$

The position vector is :

(2, 4)

Step by step solution

Step 1. Given information

Initial point P $(3, 2)$

Terminal point Q $(5, 6)$

We know that if P $(x_{1}, y_{1})$ is the initial point and Q $(x_{2}, y_{2})$ is the terminal point then the position vector is

localid="1646708398743" $v = ((x_{2} - x_{1}), (y_{2} - y_{1}))$

step 2. Calculating the v

As $v = ((x_{2} - x_{1}), (y_{2} - y_{1}))$

so for P and Q

$v = ((5 - 3), (6 - 2)) v = (2, 4)$

Step 3. Calculating the position vector

We know that if $(x, y)$ represent the position of point v then in vector form

$v = (x, y) = x (1, 0) i + y (0, 1) j v = x i + y j$

Now for v(2,4)

$v = 2 i + 4 j$

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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.
$P = (3, 2); Q = (5, 6)$

Short Answer

Step by step solution

Step 1. Given information

step 2. Calculating the v

Step 3. Calculating the position vector

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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=3,2;Q=5,6

Short Answer

Step by step solution

Step 1. Given information

step 2. Calculating the v

Step 3. Calculating the position vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Discrete Mathematics

Probability and Statistics

Statistics

Pure 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 ai + bj; that is, find its position vector.
$P = (3, 2); Q = (5, 6)$