| VECTORS
Objectives
Students will be able to:
1 Define Sine, Cosine and Tangent in terms of the opposite, adjacent
and hypotenuse of a triangle.
2 Use the above trig functions to finds angles and right triangle side
lengths.
3 Define a vector in a sentence.
4 Describe a vector’s two main features.
5 Define a scalar in a sentence.
6 Give examples of vectors and scalars.
7 Be able to identify if two vectors are equal
8 Graphically show the result of multiplying a vector by a positive
scalar.
9 Graphically show the result of multiplying a vector by a negative
scalar.
10 Graphically add vectors.
11 Graphically subtract vectors.
12 Graphically add, subtract and multiply vectors by a scalar in one
equation.
13 Given a graphical representation of a vector equation, come up with
the formula.
14 Calculate the magnitude of any vector’s horizontal and vertical
components.
15 Draw a vector’s horizontal and vertical components.
16 Use trig to calculate a vector’s direction.
17 Calculate a vectors direction as a degree measurement combined with
compass directions.
18 Calculate a vector’s magnitude using trig or Pythagorean theorem.
19 Add and subtract vectors by their components.
For each vector drawn below on a coordinate axis, label
the shown q with it proper compass headings, e.g. N of W, S, S of E,
etc.
For each vector drawn below, calculate its magnitude and
direction. NOTE: For the vector’s direction, there will be two
possible correct answers for each problem. The two answers are complimentary
to each other.
VECTORS - GRAPHICAL MEANS
FIND THE RESULATANTS, (R#):
A + B = R1,
B + C = R2,
E + D = R3,
A - B = R4,
B - D = R5,
E - C = R6,
A + B + D = R7,
E + A + C = R8,
A + (-B) = R9,
-B + C + (-D) = R10,
E - A + C - D = R11,
Adding by Vector Componants
Adding by Vector Componants
Basic Math by Vector Componants
FIND THE RESULATANT’S LENGTH AND ACUTE ANGLE WITH
THE HORIZONTAL FOR EACH R#:
A + B = R1,
B + C = R2,
E + D = R3,
A - B = R4,
B - D = R5,
E - C = R6,
A + B + D = R7,
E + A + C = R8,
A + (-B) = R9,
-B + C + (-D) = R10,
E - A + C - D = R11,
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