Q. 8 - Calculus | StudyQuestionHub

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Q. 8

Question

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

$\vec{A B} + \vec{B C} + . . . . . . + \vec{Y Z}$

Step-by-Step Solution

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Answer

$\vec{A B} + \vec{B C} + . . . . . . + \vec{Y Z} = \vec{A Z}$

1Step 1: Given

$\vec{A B} + \vec{B C} + . . . . . . + \vec{Y Z}$

2Step 2: Simplify

From the law of vector addition:

\vec{A B} + \vec{B C} + . . . . . . + \vec{Y Z} = \vec{A Z}

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