Chapter Sections 8.6-8.7 Flashcards
0
Q
How do you find the position Vector in 3-D vectors
A
V=(x2-X1)i+(y2-y1)j+(z2-z1)k
1
Q
How do you find the distance between two points that have three components A, B, and C (3D)
A
D= The square root of (x2-X1)^2+(y2-y1)^2+(z2-z1)^2
2
Q
How do you find the unit vector in 3-D
A
V/||v||
*take in account A,B, and C
3
Q
How do you find the angle between two vectors
A
VW / ||v||||w||
4
Q
How do you find the direction angles for ONE 3-D vector
What is the final equation
A
CosA= a/ ||v|| : angle for a CosB= b/ ||v|| : angle for b CosC= c/ ||v|| : angle for c Then the final equation is V= ||v|| (Cos(A)i+cos(B)j+cos(C)k)
5
Q
What is the equation for cross product: vectors in space 3-D
A
|b1 c1| |a1 c1| |a1 b1|
|b2 c2| i -|a2 c2| j + |a2 b2| k
6
Q
If when multiplying vectors U and V and your result is zero what does that mean
A
They are parallel
