Chapter Sections 8.4-8.5 Flashcards
If two vectors have the same magnitude and direction they are….
Equal vectors
If a vector has a magnitude of zero it is….
Zero vector
The sum of vector v and w is called…
Adding vectors
When there is a - in front of a vector it means
It should go in the opposite direction
What does the magnitude symbol of a vector look like
||v||
What are the four properties of magnitude of vector?
- ||v||> or = 0
- If it is the zero vector then ||v||=0
- ||-v||=||v||
- |a| * ||v||= ||a * v||
How do you calculate a position vector?
V=
i is the unit vector whose direction is along the….
Positive x axis
j is the unit vector whose direction is along the ….
Positive y axis
How do you find the magnitude of a vector?
||v||= square root of a^2 + b^2
How do you find a unit vector for a non zero vector?
V: u= v/ ||v||
Ex) v=i-j
||v||= square root of 1+1 = the square root of 2
Becomes i/ root 2 - j/ root 2
Then simplify
How do you convert from ai+bj to cos and sin
Cos a = a
sin a = b
Dot product equation
V=a1 i + b1 j
W= a2 i + b2 j
Vw= a1a2 + b1*b2
How do you find angle between vectors
cos -1 (U * V / ||u|| * ||v||)
How do you determine if 2 vectors are parallel?
One is the multiple of the other
There is an angle being either 0 or 180
