   Chapter 11.3, Problem 7E

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 = 2 i − j + k v = i − k

(a)

To determine

To calculate: The value of the vector uv for the vectors u=2ij+kandv=ik.

Explanation

Given:

The provided vectors are u=2ij+kandv=ik.

Calculation:

Dot product of the vectors u=u1i+u2j+u3kandv=v1i+v2j+v3

(b)

To determine

To calculate: The value of the vector uu for the vectors u=2ij+kandv=ik.

(c)

To determine

To calculate: The value of v2 for the vector v=ik.

(d)

To determine

To calculate: The value of the vector (u.v)v for the vectors u=2ij+kandv=ik.

(e)

To determine

To calculate: The value of the vector u(3v) for the vectors u=2ij+kandv=ik.

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