Given r1 = 3i - 2j + k, r2 = 2i - 4j - 3k, r3 = -I + 2j + 2k, find the magnitudes of (a)r3.

(b)r1 + r2 + r3.

(c)2r1 - 3r2 - 5r3

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Throughout the history, there had been a constant debate among psychologists as well as sociologists that whether nature (the effects of genetics) or nurture plays a bigger role in the development of a human personality. There is no doubt about this fact that we all inherit a set of diverse characteristics from our parents but that hereditary is not an alone factor effecting our behavior and abilities.

The argument that either nature or nurture plays a greater role in determining one's personality is still debated. By nature, we simply refer to the fact that the behavior of humans is instinctive or done without conscious thoughts, like we just are encoded to perform certain way. Like its our nature to behave in a situation of danger by running or screaming. This is what is predetermined to be performed by our genes or exists in our genetic makeup.

However, there are always two sides of an argument. Scientists also believe that environment plays a crucial role in modifying our behaviors.

By nurture,it means that behaviors are more than just  instinctive, it means they are learnt from surrounding environment throughout the course of our lives. For example, we cry and laugh at numerous occasions of different nature or  different situations. Our behaviors are influenced by our friends, family and colleagues. Someone who has an isolated kind of personality, but he lives with jolly people or friends, after few years his personality will be alot changed.

Nature and nurture are not opposing concepts instead they both run side by side and help to understand the human behavior in a better way.  Genetics certainly play important role in organisms like their physical appearance, intelligence, how artistic they are etc, We have all the coding of behavior made already but what is not written there is how it can be changed or modified. For example: An increase usage of drugs can deteriorate mental health and intelligence even if we had inherited great from parents. Therefore, the role of environment cannot be neglected too.

But i personally believe in the saying by John B. Watson where he said "Give me a dozen healthy infants, well-formed, and my own specified world to bring them up in and I’ll guarantee to take any one at random and train him to become any type of specialist I might select—doctor, lawyer, artist, merchant-chief and, yes, even beggar-man and thief, regardless of his talents, penchants, tendencies, abilities, vocations, and race of his ancestors." Therefore, the role of nurture seems to play a little more important role than nature. However, the importance of nature can not be neglected too. Its just a matter that needs more investigation and reliable results oriented research.

Hope it help!