Find the Magnitude and Direction Angle Of $\mathbf { v } = - 2 \mathbf { i } - 6 \mathbf { j }$

question 60

Multiple Choice

Find the magnitude and direction angle of $\mathbf { v } = - 2 \mathbf { i } - 6 \mathbf { j }$ .Round the direction angle to the nearest degree.

• A) ||v|| = \(3 \sqrt { 7 }\) ; \(\theta\) = 269°
• B) ||v|| = \(\sqrt { 30 }\) ; \(\theta\) = 239°
• C) ||v|| = \(2 \sqrt { 13 }\) ; \(\theta\) = 260°
• D) ||v|| = \(2 \sqrt { 10 }\) ; \(\theta\) = 252°
• E) ||v|| = \(\sqrt { 67 }\) ; \(\theta\)= 279°

---

Definitions:

Moral Evil

Wrong or harm arising from intentional actions or character flaws of moral agents, contrasted with evil resulting from natural processes or accidents.

Free Will

Among philosophers, a somewhat antiquated expression (as in “he did it of his own free will”) meaning that a person is capable of making decisions that are not determined by antecedent conditions. Of course, there may be antecedent considerations, such as what a person wants or what a person believes, but free will means that such considerations never determine a person’s decision. At most they “enter into the decision.”

Least of the Evils

A principle involved in decision making that opts for the less harmful or least undesirable option among several bad choices.

Process Philosophy

A philosophical approach that emphasizes becoming, change, and the dynamic nature of reality over static being or existence.