   Chapter 12.2, Problem 43E

Chapter
Section
Textbook Problem

# If A, B, and C are the vertices of a triangle, find A B → + B C → + C A →

To determine

To find: The value of AB+BC+CA in a triangle.

Explanation

Given:

Vertices of triangle is A, B and C.

Formula used:

Combining of vectors:

Consider two vectors as AB and BC . The combined effect of these two vectors is A to C resulting vector AC .

Write the mathematical expression for combining vectors.

AC=AB+BC (1)

Draw the triangle with vertices A, B and C as shown in Figure 1.

From definition, find the value of AB+BC+CA in triangle.

AB+BC+CA=(AB+BC)+CA=AC+CA

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