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

1.8 Addition of Vectors using 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.