   Chapter 12.2, Problem 17E

Chapter
Section
Textbook Problem

# Find the sum of the given vectors and illustrate geometrically.17. ⟨3, 0, 1⟩, ⟨0, 8, 0⟩

To determine

To find: The sum of two three-dimensional vectors.

Explanation

Given:

Vectors are 3,0,1 and 0,8,0.

Definition used:

Sum of vectors:

Consider the two three-dimensional vectors a=a1,a2,a3 and b=b1,b2,b3.

The vector sum of two vectors is,

a+b=a1+b1,a2+b2,a3+b3 (1)

Triangle law:

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

Calculation:

Substitute 3 for a1, 0 for b1, 0 for a2, 8 for b2, 1 for a3, and 0 for b3 in equation (1),

a+b=

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