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Chapter 10: Q. 4 (page 800)

In Exercises 3–8, let A, B, C, D, ... , Z be points in $R^{3}$ . Simplify the given quantity.
$\vec{A B} + \vec{B C} + \vec{C D}$

Short Answer

Expert verified

$\vec{A B} + \vec{B C} + \vec{C D} = \vec{A D}$

Step by step solution

Given

$\vec{A B} + \vec{B C} + \vec{C D}$

Simplify

From the law of vector addition,

$\vec{A B} + \vec{B C} + \vec{C D} = (\vec{A B} + \vec{B C}) + \vec{C D} = \vec{A C} + \vec{C D} = \vec{A D}$

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Most popular questions from this chapter

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$

role="math" localid="1649400253452" $(u \times v) \times w and u \times (v \times w)$

What is the definition of the cross product?

In Exercises 36–41 use the given sets of points to find:

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In Exercises 3–8, let A, B, C, D, ... , Z be points in $R^{3}$ . Simplify the given quantity.
$\vec{A B} + \vec{B C} + \vec{C D}$

Short Answer

Step by step solution

Given

Simplify

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Most popular questions from this chapter

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In Exercises 3–8, let A, B, C, D, ... , Z be points in R3. Simplify the given quantity. AB→+BC→+CD→

Short Answer

Step by step solution

Given

Simplify

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Logic and Functions

Pure Maths

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

In Exercises 3–8, let A, B, C, D, ... , Z be points in $R^{3}$ . Simplify the given quantity.
$\vec{A B} + \vec{B C} + \vec{C D}$