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Chapter 10: Q. 4 (page 800)

In Exercises 3鈥�8, let A, B, C, D, ... , Z be points in R3. Simplify the given quantity.

AB鈫�+BC鈫�+CD鈫�

Short Answer

Expert verified

AB鈫�+BC鈫�+CD鈫�=AD鈫�

Step by step solution

01

Given

AB鈫�+BC鈫�+CD鈫�

02

Simplify

From the law of vector addition,

AB鈫�+BC鈫�+CD鈫�=AB鈫�+BC鈫�+CD鈫�=AC鈫�+CD鈫�=AD鈫�

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