Calculus Question

Description

The quiz will be over the following

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Plot a three dimension point.

Find the distance between points in space.

Write a sphere in standard form, find its center and radius, and sketch it.

Find several traces of a quadric surface and use those traces to make a sketch.

Write vectors in component form.

Perform vector algebra.

Find the magnitude of a vector.

Find a unit vector in a given direction.

Be able to solve a force problem using vectors.

Find the dot product of two vectors.

Find the angle between two vectors.

Determine if vectors are orthogonal/find orthogonal vectors.

Find the orthogonal projection of vector u onto vector v.

Decompose a vector into its parallel and orthogonal components.

Use vectors to solve force problems.

must show solution