Calculus 2 Test 1

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Author:
Larabeth
ID:
167574
Filename:
Calculus 2 Test 1
Updated:
2012-08-26 20:28:28
Tags:
Calculus Vectors
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Description:
MA126
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  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!!

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