Calculus 2 Test 1

The flashcards below were created by user Larabeth on FreezingBlue Flashcards.

1. Dot Product vs Cross Product
• Dot = Scalar
• Cross = Vector
2. av*bv =>
a1b1 + a2b2 + a3b3
3. Can dot product be used in 2 dimensions?
Yes
4. Dot product relates to
the angle between two vectors
5. Two vectors are orthogonal if the angle between them is
pi/2
6. Two vectors are orthogonal when a*b is equal to
zero
7. Two vectors are parallel if theta equals
zero or pi
8. Projections can be
scalar or vector
9. Projab
Projection of vector b onto vector a
10. Scalar Projab
• Assigned length of the Projection
• (av*bv)/|av|
11. What is an application of dot product?
Work
12. Can cross product be used in 2 dimensions?
No... it MUST be 3d
13. Av X Bv
• There is a formula, but memorize the process
• Use determinants
14. Why is the cross product important?
AX Bv => Perpendicular to both vectors
15. Right hand rule
Shows which way the cross product vector will point
16. How to find unit vector
Divide by vector's magnitude
17. How are cross products useful?
For finding area
18. I, J, K are related... how do we remember this?
Remember the i -> j -> k cycle for cross product!!
 Author: Larabeth ID: 167574 Card Set: Calculus 2 Test 1 Updated: 2012-08-27 00:28:28 Tags: Calculus Vectors Folders: Description: MA126 Show Answers: