Vector Operations
Find the Magnitude (Pythagorean Theorem)
General
Find the Vector
Vectors on a Grid
100
<2,3> + <1,4>
<3,7>
100
Magnitude of <3,4>
5
100
What's the definition of a vector?
A quantity that possesses both magnitude (size or length) and direction
100
Vector from (0,0) to (4,2)
<4,2>
100
What is vector a in column form
(4)
(1)
200
2 <-2,3>
<-4, 6>
200
Magnitude of <-1,-1>
sqrt 2
200
Name the 4 main points of the compass in clockwise order from the top
North, East, South, West
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)
200
Vector B in column form
(-2)
(3)
300
<-2, 6> - <4, -1>
<-6, 7>
300
DAILY DOUBLE. What time will Mr. Zack be hoping to run the Ruta La PAz 5km under?
20 minutes (4 min/km)
300
Define a scalar
A physical quantity that is fully described by a single number (magnitude) and its unit, having no direction
300
Vector from (-2,0) to (3,4)
<5,4>
300
Vector A + B
(6)
(5)
400
3<2,2> + 2<1,3>
<8,12>
400
Magnitude of <5, 12>
13
400
A vector must have what two things?
direction and magnitude
400
Vector from (3,3) to (0,1)
<-3,-2>
400
Vector a - b
(6)
(-2)
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)
500
Magnitude of <7, 0>
7
500
What city do the Canadians play in?
(the only Canadian hockey team still in the playoffs)
Montreal
500
Vector from (-2,10) to (7,-1)
<9,-11>
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)