PHYSICS REVIEWER (VECTORS, GRAPHICAL METHOD)
 Displacement
- Straight-line separation of two points
in a specified direction
- Smallest possible distance
 Distance
- Total path taken
FOUR CARDINAL DIRECTIONS
-
North
South
East
West
 Rectangular coordinates
- Vectors are expressed in terms of
(x.y)
 Polar coordinate
- Vectors are expressed in terms of
(R, θ)
- R: distance from a certain reference
point
- Θ: angle between the vector and
reference axis
In adding vectors using the cosine law, what
is represented by the angle A in the
equation?
- angle between the given vectors
- angle opposite the missing side
In using the law of sines, what is the
relationship of the angle in the numerator
and the given side at the denominator?
- opposite sides
In adding vectors, when can we use the
sine and cosine law?
- If we are adding 2 vectors because
the third side will be the resultant
What type of quantity will be obtained if we
get the cross product of two vectors?
- Vector quantity (vector product)
Give an example of vector multiplication
- Dot/scalar (final answer is a scalar
quantity)
- Triple scalar (answer is scalar
quantity)
- Vector/Cross
 Graphical Method
- Method used in adding vectors using
ruler and protractor
- It’s important to scale
In a scalar or dot product, if the unit vector
being multiplied or parallel (same unit
vector) to each other, what will happen to
them?
- It will be equal to 1 because when it
is parallel, the angle will be equal to
0 and cos0 = 1 (equations: A x B =
ABcos0)
- If it is perpendicular (different unit
vectors), we will get the product of
the magnitudes, the terms will be
cancelled and becomes 0
 Unit Vectors
- Vectors with magnitude 1
- Directional vectors
In cross product, if we multiply (i x i), what
will be the result?
- Cross: ABsin0
- Parallel: 0
 Resultant
- Sum of the vectors
What is the operation (dot or cross)
performed first in getting the triple scalar
product?
- Cross then dot
What is the angle between two vectors if the
magnitude of the vectors are F1 = 4N, and
the dot product of the two vector is F1 x F2
= 8N?
- 60°
- F1 x F2 = F1F2cos0
- 8N = 4N(4N)cos0
- 8N / 16N = cos0
- 0 = arc cos 8N/16N