   Chapter 12.2, Problem 15E

Chapter
Section
Textbook Problem

Find the sum of the given vectors and illustrate geometrically.15. ⟨−1, 4⟩, ⟨6, −2⟩

To determine

To find: The sum of two vectors.

Explanation

Given:

Vectors 1,4 and 6,2 .

Definition:

Sum of vectors:

Consider the two two-dimensional vectors as a=a1,a2 and b=b1,b2 .

The vector sum of two two-dimensional vectors is,

a+b=a1+b1,a2+b2 (1)

Triangle law:

Consider two vectors u and then vector v. Draw the vector u and second vector v at the end  of vector u, then the resultant vector is sum of two vectors (u+v) .

Substitute –1 for a1 , 6 for b1 , 4 for a2 , and –2 for b2 in equation (1),

a+b=1+6,42

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