Trig
What is the function for sine?
Opp/Hyp
When two vectors are going in the same direction you
Add them together
Define the term vector
A quantity with both magnitude and direction.
What is the angle associated with each direction of the compass?
N- 90 degrees
E- 0/360 degrees
S- 270 degrees
W- 180 degrees
What is the function for cosine?
Adj/Hyp
When two vectors are going in opposite directions you
Subtract them from one another
Define the term resultant
The sum of two or more vectors
What is the magnitude of the resultant? How do we calculate this?
The length, using Pythagorean theorem
What is the function for tangent?
Opp/Adj
Elijah walks 5km East stops, and continues walking for 7km East. What is the resultant displacement?
12km East
Define the term scalar
A quantity that only has a magnitude.
What is the direction of the resultant? How do we calculate this?
The angle, using trig functions inverse sign
A right triangle has an angle of 42 degrees. Find the missing angle
90-42=48
Anna walks 42cm North then 85cm South. What is the resultant displacement?
43cm South
Define the head-to-tail method
A graphical technique used in physics and mathematics to add two or more vectors together. You add the tail of the second vector to the head of the first vector.
Kaden runs 3.0 blocks due West and then 10 blocks due South. Find the magnitude and direction he ran, make sure to utilize a sketch.
R = 10.44 = 10 blocks
Angle = 73.30 degrees but in Q3 (73.30 + 180) so final answer is 235 degrees.
A right triangle has one side that is 3cm and the other side is 7cm. Find the hypotenuse
7.6cm
Mason runs 17 miles West, rests and then runs 17 miles East. What is his total displacement? What is his total distance?
Displacement: 0m
Distance: 34 m
What are the steps for drawing vectors?
1. Draw the compass
2. Start at the center
3. Measure the correct angle with a protractor
4. Draw a thin straight line
5. Measure with a ruler (magnitude)
6. Finish with a small arrowhead
Layla runs 6.0 blocks due South and then 17 blocks due East. Find the magnitude and direction he ran, make sure to utilize a sketch.
R = 18.03 = 18 blocks
Angle = 70.56 degrees but in Q4 (360 - 70.56) so final answer is 289 degrees.