Download 1-7,8,9

Vectors
Scalars and Vectors:
Physics deals with many physical quantities, which are divided
into scalars and vectors.
A scalar quantity is one that can be described by a single
number (including any units) giving its size or magnitude.
Examples: Time, volume, mass, speed, distance, temperature,
density, etc.
A quantity that deals with both magnitude and direction is
called a vector quantity.
Examples: Force, weight, velocity, displacement, acceleration,
etc.
1.7. Components of a Vector
Consider the following vector, A:
How can we replace vector A by two perpendicular components?
1.7. Components of a Vector
Aadj=A∙Cos θ
and
Aopp=A∙Sin θ
Vector Components
Example 9, Page 16.
A jogger runs 145 m in a direction 20.0° east of north (displacement vector A)
and then 105 m in a direction 35.0° south of east (displacement vector B).
Using components, determine the magnitude and direction of the resultant
vector C.
Problem-44
The drawing shows a force vector that has a
magnitude of 475 N. Find the (a) x, (b) y, and
(c) z components of the vector.
Problem-46
Find the resultant of the three displacement vectors in the drawing by
means of the component method. The magnitudes of the vectors are A =
5.00 m, B = 5.00 m, and C = 4.00 m.