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Neek 007
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The start of a new school year in Ap physics C, and our favorite engineering professors causing students distress! Maybe the champions of the textbook can help me out... = )
1. Two vectors are given by
a = 4i hat - 3j hat + k hat
b = -i hat +j hat + 4k hat.
Find
a) a + b
b) a-b
C) vector c such that a -b +c = 0
2.Given two vectors
a = 4i hat - 3j hat
b = 6i hat + 8j hat
Find the magnitudes and directions (with the +x axis) of
a)a
b)b
c)a+b
d)b-a
e)a-b
components equations
etc
i took a-b from part b and replaced it into the equation.
C)
a - b = 3i hat + 2j hat
3i hat + 2j hat + c = 0
3i hat + 2j hat + (azk hat + bz k hat)
3i hat + 2j hat + (1 + 4)k hat
3i hat + 2j hat + 5k hat = 0
i solved for vector c as 5k hat, but i am not sure if this satisfies the solution, as k hat runs into the z direction.
on question 2,
e) a - b
a = 4i hat -3j hat
b= 6i hat +8j hat
a-b=-2i hat - 11j hat
-2i hat = cx = -2
-11j hat = cy = -11
[itex]\sqrt{125}[/itex] = 11.180
tan [itex]\Phi[/itex] = (-11/-2) = 79.650 degrees
vector c = 11.180 at 79.650 degrees with +x-axis.
this is the answer i had gotten, but the book answer decides to choose 260 degrees. i have looked at my positive and negative symbols for my angle measure, but cannot meet the same number.
Any help is much appreciated :)
Homework Statement
1. Two vectors are given by
a = 4i hat - 3j hat + k hat
b = -i hat +j hat + 4k hat.
Find
a) a + b
b) a-b
C) vector c such that a -b +c = 0
2.Given two vectors
a = 4i hat - 3j hat
b = 6i hat + 8j hat
Find the magnitudes and directions (with the +x axis) of
a)a
b)b
c)a+b
d)b-a
e)a-b
Homework Equations
components equations
etc
The Attempt at a Solution
on question 1, I've gotten parts a and b, but running into difficulty proving a-b + c=0.i took a-b from part b and replaced it into the equation.
C)
a - b = 3i hat + 2j hat
3i hat + 2j hat + c = 0
3i hat + 2j hat + (azk hat + bz k hat)
3i hat + 2j hat + (1 + 4)k hat
3i hat + 2j hat + 5k hat = 0
i solved for vector c as 5k hat, but i am not sure if this satisfies the solution, as k hat runs into the z direction.
on question 2,
e) a - b
a = 4i hat -3j hat
b= 6i hat +8j hat
a-b=-2i hat - 11j hat
-2i hat = cx = -2
-11j hat = cy = -11
[itex]\sqrt{125}[/itex] = 11.180
tan [itex]\Phi[/itex] = (-11/-2) = 79.650 degrees
vector c = 11.180 at 79.650 degrees with +x-axis.
this is the answer i had gotten, but the book answer decides to choose 260 degrees. i have looked at my positive and negative symbols for my angle measure, but cannot meet the same number.
Any help is much appreciated :)