In the diagram below three vectors are represented by arrows in the xy plane. Ea

Question

In the diagram below three vectors are represented by arrows in the xy plane. Each division represents 1 meter.

In the diagram below three vectors are represented by arrows in the xy plane. Each division represents 1 meter aL (a) What are the components of the vector a? (b) What is the magnitude of the vector a? lal = (c) What are the components of the vector c? c= (d) What is the magnitude of the vector c? Ici = (e) What are the components of the vector g? (f) What is the magnitude of the vector g? Igl =

Explanation / Answer

Here ,

a) for the components of a

from the graph

x - component of a = 5 m

y - component of a = 3 m

components of a = (5 , 3) m

b)

magnitude of vector a = sqrt(ax^2 + ay^2)

magnitude of vector a = sqrt(5^2 + 3^2)

magnitude of vector a = 5.83 m

magnitude of vector a is 5.83 m

c)

for the components of c

from the graph

x - component of c = 6 m

y - component of c = -9 m

components of c = (6 , -9) m

d)

magnitude of vector c = sqrt(cx^2 + cy^2)

magnitude of vector c = sqrt(6^2 + 9^2)

magnitude of vector c = 10.83 m

magnitude of vector c is 10.83 m

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