Vectors Jeopardy

Vector Operations

100

<2,3> + <1,4>

<3,7>

200

A+B = ?

When A=(2,3) and B=(4,1)

A+B=(6,4)

300

(-2i+6j) + (4i-j)

2i+5j

400

A-B = ?

When A=(2,3) and B=(4,1)

(−2,2)

500

In Harry Potter, who killed Dumbledore?

Severus Snape

Find the Magnitude

100

Magnitude of <3,4>

5

200

Magnitude of <-1,-1>

sqrt 2

300

Find the magnitude: a<3,2> + b<-3,4>

6

400

Magnitude of 5i+12j

13

500

Magnitude of 7j

7

General

100

What's the definition of a unit vector?

A vector with magnitude equal to one.

200

Mention three differences between the dot product and the cross product.

.

300

Define a scalar quantity

A physical measurement that has a size or magnitude only, with no directional component

400

A vector must have what two things?

direction and magnitude

500

What are the two components in a vector. Give the formula of one of them.

A_x = Acosθ
A_y = Acosθ

Find the Vector

100

Vector from (0,0) to (4,2). Components Ax and Ay

<4,2>

200

From (-2, 0) to (-7, -1). Components Ax and Ay

<-5, -1>

300

Vector from (-2,0) to (3,4). Components Ax and Ay

<5,4>

400

Vector from (3,3) to (0,1). Components Ax and Ay

<-3,-2>

500

“Is this the real life? Is this just ___?

fantasy

Vector Applications

100

Find the dot product of A (2i + 3j) and B ( 4i + 5j) 

A.B=AxBx+AyBy

A.B = 23

200

Find the Magnitude and direction of S= Q+R when Q=(0,2) and R=(−4,1)

∣s∣ =5

θ=143.13º

300

Find the magnitude of the vector that goes from point (2, 3) to (-3, 6). Draw it.

v= (-5,3)

sqrt(34)=5.83

400

Find the direction: <-2, -7>. Quadrant III

Angle = 254.05

500

Determine the cross product of AxB if A=(2,3) and B=(1,4) and the angle between both vectors is 19.65º.

A=sqrt(13)

B=sqrt(17)

AxB=ABsinθ

AxB=(sqrt(13).sqrt(17).sin(19.65º)

AxB = 5