Section 1

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Adding and Subtracting vectors u + v u - v

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Last updated

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Date created

Mar 14, 2020

Cards (18)

Section 1

(18 cards)

Adding and Subtracting vectors u + v u - v

Front

<u1 + v1, u2 + v2, u3 +v3> <u1 - v1, u2 - v2, u3 - v3>

Back

Elliptic cone

Front

Back

Hyperbolic paraboloid

Front

Back

Cross Product u X v

Front

<u2v3-u3v2, u3v1-u1v3, u1v2- u2v1> also ||u||||v||sin(theta) creates a vector

Back

Arc Length

Front

Back

Magnitude of a vector

Front

sqrt((u1)^2 + (u2)^2 + (u3)^2)

Back

Midpoint formula

Front

Back

Dot Product u * v

Front

<u1, u2> * <v1, v2> = u1v1 + u2v2 also ||u||||v|| cos(theta) creates a scalar

Back

Cylindrical Coordinates

Front

x = rcos(theta) y = rsin(theta) z = z

Back

Hyperboloid of one sheet

Front

Back

Ellipsoid

Front

Back

Circular Coordinates

Front

x = psin(rho)cos(theta) y = psin(rho)sin(theta) z = pcos(rho)

Back

Unit tangent vector

Front

T(t) = r'(t)/||r'(t)||

Back

Equation of a Sphere

Front

Back

Elliptic paraboloid

Front

Back

Distance formula

Front

Back

u and v are perpendicular if

Front

u * v = 0

Back

Unit Vector

Front

u = <u1 + u2 + u3> u = u1i + u2j + u3k

Back