Vector A^vector points in the negative y direction and has a magnitude of 5 unit
ID: 1655524 • Letter: V
Question
Vector A^vector points in the negative y direction and has a magnitude of 5 units. Vector B^vector has twice the magnitude and points in the positive x direction. You may might to review. Express your answer using two significant figures. Find the direction and magnitude of B^vector - A^vector. Express your answer as a whole number. Express your answer using two significant figures. Vector A^vector points in the negative y direction and has a magnitude of 5 units. Vector B^vector has twice the magnitude and points in the positive x direction. You may might to review. Find the direction and magnitude of A^vector + B^vector. Express your answer as a whole number. Express your answer using two significant figures. Find the direction and magnitude of A^vector - B^vector. Express your answer as a whole number.Explanation / Answer
ax = 0
ay = -5
bx = 10
by = 0
a) rx = ax+bx = 10
ry = ay+by = -5
magnitude = sqrt(10^2+5^2) = 11.2 units
b) theta = tan^-1(-5/10) = -26.56 below the x axis
c) rx = ax-bx = -10
ry = ay-by = -5
magnitude = sqrt(100+25) = 11.2 units
theta = tan^-1(5/10) = 26.56 or 180+26.56 = 206.56 from x axis
d) a-b magnitude = 11.2 units
e) rx = bx-ax = 10
ry = by-ay = 5
theta = tan^-1(5/10) = 26.56 from x axis
f) magnitude = sqrt(100+25) = 11.2 units
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