   Chapter 11.3, Problem 1E

Chapter
Section
Textbook Problem

# Finding Dot ProductsIn Exercises 3–10, find(a) u ⋅ v (b) u ⋅ u (c) ‖ v ‖ 2 (d) ( u ⋅ v ) v , and(e) u ⋅ ( 3 v ) . u = 〈 3 , 4 〉 ,   v = 〈 − 1 , 5 〉

(a)

To determine

To calculate: The dot product of two different vector (u·v) where vectors, u=3,4 and v=1,5.

Explanation

Given:

The vectors, u=3,4 and v=1,5.

Formula used:

Dot product of two vectors u=u1,u2,u3 and v=v1,v2,v3,

(b)

To determine

To calculate: The dot product of two same vector (u·u) where vectors, u=3,4 and v=1,5.

(c)

To determine

To calculate: The square of magnitude of v2 where vectors, u=3,4 and v=1,5.

(d)

To determine

To calculate: The dot product of the vector (u·v)v where vectors, u=3,4 and v=1,5.

(e)

To determine

To calculate: The dot product of the vector u·(3v) where vectors, u=3,4 and v=1,5.

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