Calculus 3 terms

Question 1

Coordinate Plane

Answer 1

xy, yz, xz planes; divide space into 8 octants

Question 2

Vector

Answer 2

a quantity with both magnitude and direction

Question 3

Scalar

Answer 3

a quantity with only magnitude

Question 4

Position vector

Answer 4

Vector from origin to a point

Question 5

Orthogonal

Answer 5

2 lines are perpendicular at their point of intersection

Question 6

Magnitude

Answer 6

Length of a vector

Question 7

Standard basis vectors

Answer 7

a 1 unit long vector that points directly in line with an axis

Question 8

Unit vector

Answer 8

Vector with length 1

Question 9

Skew lines

Answer 9

Lines that do not intersect and are not parallel

Question 10

Normal vector

Answer 10

a vector which is perpendicular to the surface at a given point

Question 11

Velocity

Answer 11

the derivative of the position with respect to time

Question 12

Speed

Answer 12

the magnitude of the velocity

Question 13

Acceleration

Answer 13

the change in velocity (Δv) over the change in time (Δt)

Question 14

Tangential component

Answer 14

tangent to the curve and in the direction of increasing or decreasing velocity

Question 15

Normal component

Answer 15

perpendicular to the curve

Question 16

Parametric equations

Answer 16

an equation where the x and y coordinates of the curve are both written as functions of another variable called a parameter

Question 17

Vector equation

Answer 17

an equation involving a linear combination of vectors with possibly unknown coefficients