Just Vector Terminology
Another Word for Magnitude
What is "length?"
Simplify:
-4 <6, -3>
What is "<-24, 12>?"
Given the following vectors, calculate their dot product:
a = <5,5> and b = <5,5>
What is "50?"
Are the following vectors orthogonal?
a = <1,2> and b = <0,-4>
No :(
A vector is a quantity that possesses these two features
What are "magnitude" and "direction?"
Simplify:
<-13, 5> - <12, -6>
What is "<-25, 11>?"
Given the following vectors, calculate their dot product:
a = <8,7> and b = <3,2>
What is "38?"
Are the following vectors orthogonal?
a = <3,4> and b = <-8,6>
YES!!
The angle from the positive x-axis
What is the "direction angle?"
Given the initial point (3,4) and the terminal point (7,9), find the vector's component form.
What is "<4,5>?"
Given the following vectors, calculate their dot product:
a = <9,2> and b = <7,17>
What is "97?"
Are the following vectors orthogonal?
a = <2,1> and b = <-1,2>
Yes!
If the dot product of two vectors is zero, then the two vectors are considered this; a synonym to perpendicular
What is "orthogonal?"
Simplify:
2<7, -2> + 6<-2, 4>
What is "<2, 20>?"
Given the following vectors, calculate their dot product:
a = <100,50> and b = <50,100>
What is "10000?"
Are the following vectors orthogonal?
a = <2,1> and b = <3,-6>
YES!!
A vector's component form is written in the following notation: < a, b > in which the a and b stand for these two terms
What are the "vertical and horizontal components?"
Given u=<6,5> and w=<6,-10>, find ||u+w||.
What is "13?"
Given the following vectors, calculate their dot product:
a = <78,54> and b = <63,99>
What is "10260?"
Are the following vectors orthogonal?
a = <5,10> and b = <6,-2>
No!! But so close! What value could we replace -2 with to make it orthogonal?