   Chapter 11.3, Problem 6E

Chapter
Section
Textbook Problem

# Finding Dot Products In Exercises 3–10, find u ⋅ v u ⋅ u ‖ v ‖ 2 ( u ⋅ v ) v , and u ⋅ ( 3 v ) . u = 〈 − 7 , − 1 〉 ,   v = 〈 − 4 , − 1 〉

(a)

To determine

To calculate: The value of the vector uv when u=i and v=i.

Explanation

Given:

The provided vectors are u=i and v=i.

Formula used:

The dot product of two vectors u and v where u=u1,u2,u3and v=v1,v2,v3,

uv=u1v1+u2v2+u3v3

Calculation:

Consider the provided vectors u=i and v=i

(b)

To determine

To calculate: The value of the vector uu when u=i and v=i.

(c)

To determine

To calculate: The value of u2 when u=i and v=i.

(d)

To determine

To calculate: The value of the vector (uv)v when u=i and v=i.

(e)

To determine

To calculate: The value of the vector u(2v) when u=i and v=i.

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