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Scalar
-quantity that has only magnitude and no direction.
Vector
-has both magnitude and direction.
- both are associated with units
- both are used in mathematical operations
- both represent physical quantities
Similarities of Vectors and Scalars
tail
the origin of a vector
head
the end point of a vector
Vector arrow
vectors are commonly represented
in diagrams by an arrow called as
magnitude
length of the vector arrow
direction
the head of the vector arrow
Scale
the ratio of the distance
Head-to-tail method
- Placing the tails of the second vector at the head of the first vector. The third vector is placed at the head of the second vector.
- you can see how vectors combine
- by doing this, you can visualize both the magnitude and direction
- you can understand the relationship between different vectors.
- provides a fast way to get a rough idea of the resultant vector
Resultant vector
- vector sum of two or more vectors
-it's the vector that describes the total effect of several individual vectors when combined.
Analytical method
this method is used to add 3 or more right angle vectors
Component method
- this method is used to add non-perpendicular vectors
- a technique used to break down a vector into its individual components along specific axes of a coordinate system