11I-11J - Scalar (Dot) Product 2016.notebook€¦ · 11I-11J - Scalar (Dot) Product 2016.notebook...
Transcript of 11I-11J - Scalar (Dot) Product 2016.notebook€¦ · 11I-11J - Scalar (Dot) Product 2016.notebook...
11I11J Scalar (Dot) Product 2016.notebook April 07, 2016Vectors (Revisited)Given the points P(2,7,1) and R(1,4,5):
Vector Eqn
Parametric Eqns
Cartesian Eqns
a.) Find .
b.) Find the vectors with magnitude 10 collinear to .
c.) Find the equation of a line (in all 3 forms) containingthe points P(2,7,1) and R(1,4,5).
Dot Product/Scalar Product
• u and v are nonzero vectors• is the angle between u and v.
Important: The dot product returns a scalar value, NOT a vector.
Dot Product (Alternate Forms) Properties of the Dot Product
Example #2
Example #3
11I11J Scalar (Dot) Product 2016.notebook April 07, 2016
Homework
11I p.5867 #18
Exercise 11I
Dot Product/Scalar ProductGiven two vectors in a plane:
Given two vectors in 3D:
Example 1
11I11J Scalar (Dot) Product 2016.notebook April 07, 2016
Example #1 Example 2
Example 3 Exercise 11I
Exercise 11I Exercise 11I
11I11J Scalar (Dot) Product 2016.notebook April 07, 2016
Exercise 11I Exercise 11I
Exercise 11I
11I11J Scalar (Dot) Product 2016.notebook April 07, 2016