Pre Calculus Question - Vectors

P

partyboy911

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May 21, 2009
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Answer any if you can. Work would be appreciated.

#1
Perform the multiplication. Give your answer in both trigonometric form and standard form.
P = Pie

5( cos(p/3) + isin(p/3)) 4( cos(3p/2) + isin(3p/2))

#2:
Find the projection of v= -15i + 10j onto u = i - 2j and the vector component of v orthogonal to u

#3:
Find the work done in moving a particle from P to Q if the magnitude and direction of the force are given by v.
P = (2,6), Q = (6,4), v = <3,4>

#4:
An airplane is flying due north at 330 miles per hour. A wind begins to blow in the direction S 16 E at 71 miles per hour. Find the bearing the pilot must fly the aircraft to continue traveling due north.

Thanks guys! Hopefully i'll understand this stuff after looking at the work.
 
partyboy911 said:
#1: Perform the multiplication. Give your answer in both trigonometric form and standard form.
P = Pie

5( cos(p/3) + isin(p/3)) 4( cos(3p/2) + isin(3p/2))

(a+ib)(c+id) = (ac - bd) + i(da + bc)

#2: Find the projection of v= -15i + 10j onto u = i - 2j and the vector component of v orthogonal to u

Projection of vector V onto U is V(dot)U and vector component of V orthogonal to U is V(cross)U

#3: Find the work done in moving a particle from P to Q if the magnitude and direction of the force are given by v.
P = (2,6), Q = (6,4), v = <3,4>

Work done = Force (dot) Path

#4:
An airplane is flying due north at 330 miles per hour. A wind begins to blow in the direction S 16 E at 71 miles per hour. Find the bearing the pilot must fly the aircraft to continue traveling due north.

This is vector addition/subtraction
Click to expand...

These are standard problems - there must be few worked out as example problems in your textbook.

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.
 
Whenever someone says let P = "Pie", I go the other way, as obviously when Partyboy was choosing his electives he got mathematics confused with home economics.
 
BigGlenntheHeavy said:
Whenever someone says let P = "Pie", I go the other way, as obviously when Partyboy was choosing his electives he got mathematics confused with home economics.
Click to expand...

Two enthusiastic thumbs up :D
 
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