Match the Following Vector-Valued Function with Its Graph $$\mathbf { r } ( u , v ) = u \cos v \mathbf { i } + u \sin v \mathbf { j } + u \mathbf { k }$$

question 47

Multiple Choice

Match the following vector-valued function with its graph. $$\mathbf { r } ( u , v ) = u \cos v \mathbf { i } + u \sin v \mathbf { j } + u \mathbf { k }$$

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Definitions:

Kinetic

Pertaining to motion, objects being in motion or the study of dynamics that involve motion.

Linear Perspective

Linear perspective is a technique in art and photography that creates the illusion of depth and distance on a flat surface, by having parallel lines converge towards one or more vanishing points on the horizon.

Aerial Perspective

A visual technique in art used to create the illusion of depth by depicting objects in the distance with less clarity and a bluer tone than those in the foreground.

Motion Parallax

A depth cue that involves the difference in speed of movement of images across the retina as one moves through the environment.