Calculus Jeopardy

Dot Product

Cross Product and operations in R3

Area/volume and operations in R2

Random

100

magnitude of a = 4 and magnitude of b = 3 and the angle between the vectors is 60 degrees. What is the magnitude of a dot b

100

A force of 20 N is applied at the end of a wrench that is 40 cm long at an angle of 60 Degrees. Find Magnitude of Torque

6.93

100

Determine the value of x and y.

3(x,1) -5(2,3y) = (11,33)

x=7 y=-2

100

Find the derivative of f(x) = 4x² + 7x

8x+7

200

The angle between (-1,4,0) and (0,2,-7) to the nearest degree

75 degrees

200

Magnitude of a = 5, magnitude of b = 7, and the angle between them is 110 degrees. Find a x b

32.89 units

200

Find the components of the unit vector in the direction opposite to PQ, where OP = (11,19) and OQ (2,-21)

unit vector = (9/41, 40/41)

200

what's the capital of Guatemala

Guatemala City

300

Vector P (1,2,k) makes an angle of 60 degrees with the positive z- axis. Find Value(s) of k

k = +Square root of 5/3

300

Find u x v if u = (-1,7,4) and v = (2,-1,-5)

u x v = (-31,3,-13)

300

find the area of a triangle with vertices P (7,2,-5) Q (9,-1,-6) and R (7,3,-3) estimate to the nearest tenth

3.4 units²

300

Derive 2e^10t

20e^10t

400

find VALUES of K such that vectors (k,1,2) and (-k,13k,-11) are perpendicular to each other.

k =2 or k = 11

400

Given 2x + y -2z = 0, x= (-1,b,c) y = (a,-2,c) and z = (-a,6,c) determine the value of the unknowns

a=2/3

b= 7

c=0

400

Find the volume of parallelepiped built from three vectors (-4,2,7) (1,-5,3) and (1,2,4)

151 units³

400

I have no life, but I can die. What am I?

A battery

500

Force = 6i -4j +5k does 345 J work along the Z-axis. Find the displacement Vector

the displacement vector is (0,0,69)

500

Find K such that a = (2,-9,1) b = (-1,4,2) and v = (k,5,-1) are coplanar.

k = -12/11

500

Find the area of the Triangle with Vertices D(4,-1,3) E(1,-5,2) F (1,1,6)

24.2 units²

500

How do eight eights add up to one thousand

888 + 88 + 8 + 8 + 8 = 1000