Calc 3 Flashcards

1
Q

Distance Formula

A
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2
Q

Equation of Sphere

A
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3
Q

What is a Vector

A

An object with a Direction and Length. Can have a summation and scalar multiplication. Doesn’t matter where the vector is drawn.

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4
Q

Adding Vectors

A
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5
Q

Scalar Multiplication of Vectors

A
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6
Q

Magnitude

A
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7
Q

Find equation of a sphere with center = (1, -12, 6) and radius = 10

A
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8
Q

Use an equation to describe an interaction with the xy, xz, yz plane

A
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9
Q

Find an equation of a set of points equal distance from point A(-1,4,2) and B(5,3,-2)

A
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10
Q

Cross Product

A

Finds if vectors are parallel, produces a vector

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11
Q

Inner/Dot Product

A

Finds if vectors are orthogonal, produces a number

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12
Q

Triple Product

A

absolute value is the volume of parallelpipe

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13
Q

2 straight lines can

A

Intersect, parallel, skew

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14
Q

2 planes can

A

intersect, parallel

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15
Q

Cylinder

A

All lines parallel and passing through a plane curve

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16
Q

Space Curve

A

the components of vector function are continuous