Day 14, Tuesday, 15 September, 2015Vector Problems
Graphical representation Resultant Addition Subtraction Reference Angle Sin, Cos, Tan Pythagorean Theorem Law of Cosines Resolving Components Angle of a Resultant: tan-1 Θ Problem page 75
In summary: In an equation or operation with a scalar or dot
product, the answer is a scalar quantity that is the product of two vectors.
The dot product is found by multiplying the components of vectors that are in the same direction.
ABcosΘ In an equation or operation with a vector or
cross product, the answer is a vector quantity that is the product of two vectors.
The cross product is found by multiplying the components of vectors that are perpendicular to each other.
ABsinΘ
Vocabulary
Speed is a scalar with magnitude only
Velocity is a vector with magnitude
and direction
w r t means with respect to
Lecture- Vectors Graphical representation Resultant Addition Subtraction Reference Angle Sin, Cos, Tan Pythagorean Theorem Law of Cosines Resolving Components Angle of a Resultant: tan-1 Θ Problem page 75
Graphical representation
Arrows Can slide around Cannot change direction Cannot change length Add tip to tail
Credits
Reference Angle www.netcomuk.co.u
Complimentary Angles Cartoon www.cartoonstock.com
Vector Addition and Subtraction Wikipedia