   Chapter 12, Problem 19RQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.19. If u · v = 0, then u = 0 or v = 0.

To determine

Whether the given statement is true or false.

Explanation

Formula used:

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

Dot product of vectors:

Write the expression for dot product of vectors a and b.

ab=a1,a2,a3b1,b2,b3=a1b1+a2b2+a3b3

Consider vector u as 1,0,0 and vector v as 0,1,0.

Find the dot product of vectors u and v (uv) using the formula

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