Vector Help Please a) Using the figure of the \"smiley-face, moon, and triangle\
ID: 1410682 • Letter: V
Question
Vector Help Please
a) Using the figure of the "smiley-face, moon, and triangle": Find the magnitude of the vector (a + b).
b) Using the "smiley-face, triangle, and moon" figure: Find the direction (measured counter-clockwise from East, the "standard math class way", in degrees) of the vector (a + b)
c) In the figure with the "smiley-face, moon, and triangle": find the magnitude of the vector (b - a).
d)Using the "smiley-face, moon, and triangle" figure: Find the direction (measured counter-clockwise from East, the "standard math class way", in degrees) of the vector (b - a)
e)
Explanation / Answer
Here, Horizontal component of b-a = 6.20 * cos40 - 5.80 * sin28
= 2.0265
Vertical component of b-a = - 6.20 * sin40 - 5.80 * cos28
= - 9.106
=> angle = - tan-1( 9.106/2.0265)
= - 77.45 degree
=> Horizontal component of b+a = 6.20 * cos40 + 5.80 * sin28
= 7.47
=> Vertical component of b+a = - 6.20 * sin40 + 5.80 * cos28
= 1.1358
=> angle = 8.65 degree
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