   Chapter 11.3, Problem 4E

Chapter
Section
Textbook Problem

# Finding Dot Products In Exercises 1-8, find (a) u ⋅ v u ⋅ u ∥ u ∥ 2 ( u ⋅ v ) v u ⋅ ( 2 v ) . u =   ( − 4 ,   8 ) ,   v   =   (7,   5)

(a)

To determine

To calculate: The value of the vector uv when u=4,8 and v=7,5.

Explanation

Given:

The provided vectors are u=4,8 and v=7,5.

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

(b)

To determine

To calculate: The value of the vector uu when u=4,8 and v=7,5.

(c)

To determine

To calculate: The value of u2 when u=4,8 and v=7,5.

(d)

To determine

To calculate: The value of the vector (uv)v when u=4,8 and v=7,5.

(e)

To determine

To calculate: The value of the vector u(2v) when u=4,8 and v=7,5.

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