Chapter 10, Problem 10.9E

Interpretation Introduction

(a)

Interpretation:

The expression ${\stackrel{⌢}{P}}_x\left(4,5,6\right)$ is to be calculated.

Concept introduction:

An operation on a function is done by an operator. The operator gives mathematical instructions such as multiplication, division, and differentiation. A new function produces when an operator is operated on a function. When a constant act as an operator and operate on the function it does not change the value.

Interpretation Introduction

(b)

Interpretation:

The expression ${\stackrel{⌢}{P}}_y{\stackrel{⌢}{P}}_z\left(0,-4,-1\right)$ is to be calculated.

Concept introduction:

An operation on a function is done by an operator. The operator gives mathematical instructions such as multiplication, division, and differentiation. A new function produces when an operator is operated on a function. When a constant act as an operator and operate on the function it does not change the value.

Interpretation Introduction

(c)

Interpretation:

The expression ${\stackrel{⌢}{P}}_x{\stackrel{⌢}{P}}_x\left(5,0,0\right)$ is to be calculated.

Concept introduction:

An operation on a function is done by an operator. The operator gives mathematical instructions such as multiplication, division, and differentiation. A new function produces when an operator is operated on a function. When a constant act as an operator and operate on the function it does not change the value.

Interpretation Introduction

(d)

Interpretation:

The expression ${\stackrel{⌢}{P}}_y{\stackrel{⌢}{P}}_x\left(\pi ,\pi /2,0\right)$ is to be calculated.

Concept introduction:

An operation on a function is done by an operator. The operator gives mathematical instructions such as multiplication, division, and differentiation. A new function produces when an operator is operated on a function. When a constant act as an operator and operate on the function it does not change the value.

Interpretation Introduction

(e)

Interpretation:

The combination of operator ${\stackrel{⌢}{P}}_x{\stackrel{⌢}{P}}_y$ is equal to ${\stackrel{⌢}{P}}_y{\stackrel{⌢}{P}}_x$ for any set of coordinate or not is to be identified. The explanation for the corresponding answer is to be stated.

Concept introduction:

An operation on a function is done by an operator. The operator gives mathematical instructions such as multiplication, division, and differentiation. A new function produces when an operator is operated on a function. When a constant act as an operator and operate on the function it does not change the value.