Tutorial 1: Vector Analysis
Question PDF
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MATLAB: Tutorial 1
- Given vectors with
, , and
Solve the components and length of the vector for:
a. and
b.
Solution
Question (a)
Question (b)
- Find and the angle between vector and for
a. ,
b. ,
c. ,
Solution
Question (a)
Question (b)
Question (c)
- Find the area of the triangle determined by the points , , and and a unit vector perpendicular to plane for
a. , ,
b. , ,
c. , ,
Solution
Question (a)
Question (b)
Question (c)
- Find directional derivative of
a. in the direction of at point .
b. in the direction of at point .
c. in the direction of at point .
Solution
Question (a)
Question (b)
Question (c)
- Calculate the divergence of the vector fields and
a.
b.
c.
Solution
Question (a)
Question (b)
Question (c)
- Calculate the curl of the following vector fields .
a.
b.
c.
Solution
Question (a)
Question (b)
⇒ the curl vector is in the direction
Question (c)