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Chapter 10: Q. 3 (page 800)

In Exercises 3–8, let A, B, C, D, ... , Z be points in $R^{3}$ . Simplify the given quantity.
role="math" localid="1663231338982" $\vec{A B} + \vec{B C}$

Short Answer

Expert verified

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

Step by step solution

01

Given

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

02

Simplify

From the law of vector addition,

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

Thus, $\vec{A B} + \vec{B C}$ is represented by vector $\vec{A C}$ .

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