The x and y components of a vector are rx = 12.1 m and ry = 5.2 m, respectively.
ID: 2165485 • Letter: T
Question
The x and y components of a vector are rx = 12.1 m and ry = 5.2 m, respectively.(a) What is the angle between the vector and the axis +x. (counterclockwise from the positive x axis)
(b) What is the magnitude of the vector r.
(c) If both rx and ry are doubled, how is the vector different from before?
1. direction won't change but magnitude doubles
2. direction won't change but magnitude quadruples
3. direction rotates counterclockwise by twice the original angle and magnitude quadruples
4. direction rotates clockwise by twice the original angle but magnitude won't change
(d) If rx doubled and ry remains the same, how is the vector different from before?
1. angle is larger and the magnitude remains the same
2. both angle and magnitude are smaller
3. angle is smaller and magnitude is larger
4. both angle and magnitude are larger
Explanation / Answer
a.) = tan^-1(y/x) = tan^-1(5.2/12.1) = 23.25
b.)magnitude = sqrt(12.1^2 + 5.2^2) = 13.17
c.)1. direction won't change but magnitude doubles
d) angle is smaller and magnitude is larger
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