1.3 scalar and dot products, projections

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Name: Score: Program, Year & Section: Date: SCALAR AND DOT PRODUCTS, PROJECTIONS Worksheet 1.3 Show your process on each of the following items. You may use the back portion of this worksheet. Provide extra sheet(s) of paper if needed. 1. Concept on Scalar Multiplication How does scalar multiplication affect the norm (magnitude) of a vector? Show computation. 2. Concept on DOT Product Let represents an n–tuple vector. Evaluate 3. Projection Let and Determine: a. b. c. d. e. f. nacijohn Page 1 of 2

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Page 1: 1.3 Scalar and DOT Products, Projections

Name: Score:

Program, Year & Section: Date:

SCALAR AND DOT PRODUCTS, PROJECTIONS

Worksheet 1.3Show your process on each of the following items. You may use the back portion of this worksheet. Provide extra sheet(s) of paper if needed.

1. Concept on Scalar MultiplicationHow does scalar multiplication affect the norm (magnitude) of a vector? Show computation.

2. Concept on DOT Product

Let represents an n–tuple vector. Evaluate

3. Projection

Let and Determine:

a. b.

c. d.

e. f.

g. h.

i. j.

nacijohn Page 1 of 1