Week 1

Tutorial 1: Vector Analysis

Question PDF

TUTORIAL 1.pdf

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Class Recording

kya-habw-nht (2022-03-17 20_00 GMT-7).mp4

Whiteboard

Tutorial 1.pdf

1911.0KB

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Slide version: Slides

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MATLAB: Tutorial 1

Given vectors with

, , and

Solve the components and length of the vector for:

a. and

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Solution

Question (a)

Question (b)

Find and the angle between vector and for

a. ,

b. ,

c. ,

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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. , ,

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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 .

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Solution

Question (a)

Question (b)

Question (c)

Calculate the divergence of the vector fields and

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Solution

Question (a)

Question (b)

Question (c)

Calculate the curl of the following vector fields .

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Solution

Question (a)

Question (b)

⇒ the curl vector is in the direction

Question (c)