Let Find $\frac { d } { d t } [ \mathbf { u } ( t ) \times \mathbf { v } ( t ) ]$

question 63

Essay

Let $\mathbf { u } ( t ) = 2 t \mathbf { i } + \sin t \mathbf { j } - \cos t \mathbf { k } \text { and } \mathbf { v } ( t ) = \mathbf { i } + t ^ { 2 } \mathbf { j } - t \mathbf { k }$ Find $\frac { d } { d t } [ \mathbf { u } ( t ) \times \mathbf { v } ( t ) ]$

---

Definitions:

Ego

The part of the mind that mediates between the conscious and the unconscious and is responsible for reality testing and a sense of personal identity.

Id

The unconscious mind, motivated for pleasure and wish fulfillment.

Superego

In psychoanalytic theory, the part of the personality responsible for moral standards and conscience.

Inferiority Complex

The belief that one is of lower status or weaker than others.