Vectors

Vector Operations

100

<2,3> + <1,4>

<3,7>

200

2 <-2,3>

<-4, 6>

300

<-2, 6> - <4, -1>

<-6, 7>

400

3<2,2> + 2<1,3>

<8,12>

500

Name the 3 of 4 major sports from Toronto

Toronto Raptors (Basketball)

Toronto Maple Leafs (Hockey)

Toronto Blue Jays (Baseball)

Toronto Argonauts (Football, CFL)

Find the Magnitude (Pythagorean Theorem)

100

Magnitude of <3,4>

5

200

Magnitude of <-1,-1>

sqrt 2

300

DAILY DOUBLE. What time will Mr. Zack be hoping to run the Ruta La PAz 5km under?

20 minutes (4 min/km)

400

Magnitude of <5, 12>

13

500

Magnitude of <7, 0>

7

General

100

What's the definition of a vector?

A quantity that possesses both magnitude (size or length) and direction

200

Name the 4 main points of the compass in clockwise order from the top

North, East, South, West

300

Define a scalar

A physical quantity that is fully described by a single number (magnitude) and its unit, having no direction

400

A vector must have what two things?

direction and magnitude

500

What city do the Canadians play in?

(the only Canadian hockey team still in the playoffs)

Montreal

Find the Vector

100

Vector from (0,0) to (4,2)

<4,2>

200

Which city will host the first match of the FIFA World Cup?

*Bonus points for the 2 teams play

Mexico City (Mexico vs South Africa)

300

Vector from (-2,0) to (3,4)

<5,4>

400

Vector from (3,3) to (0,1)

<-3,-2>

500

Vector from (-2,10) to (7,-1)

<9,-11>

Vectors on a Grid

100

What is vector a in column form

(4)

(1)

200

Vector B in column form

(-2)

(3)

300

Vector A + B

(6)

(5)

400

Vector a - b

(6)

(-2)

500

How are distance and displacement different?

Distance is the total path length covered by an object (a scalar quantity). Displacement is the shortest straight-line distance from an object’s starting point to its final position, including direction (a vector quantity)