Let A = (3.0 m, 20 south of east), B = (2.0 m, north), C = (5.0 m, 70 south of w

ID: 1528556 • Letter: L

Question

Let A = (3.0 m, 20 south of east), B = (2.0 m, north), C = (5.0 m, 70 south of west). Use a coordinate system with the x-axis to the east.

Write the x- and y-components of vector A .Express your answers using two significant figures separated by a comma.

Write the x- and y-components of vector B .Express your answers using two significant figures separated by a comma.

Write the x- and y-components of vector C .Express your answers using two significant figures separated by a comma.

Find the magnitude of D =A +B +C .Express your answer using two significant figures.

Find the direction of D =A +B +C .Express your answer using two significant figures.

here,

A = 3 * ( cos(20) i - sin(20) j)

A = 2.82 i m - 1.03 m j

Ax = 2.82 m , Ay = - 1.03 m

and

B = 2 m j

Bx= 0 m , By = 2 m

and

C = 5 * ( - cos(70) i - sin(70) j)

C = - 1.71 i m - 4.7 j m

D = A + B + C

D = 1.11 i m - 3.73 j m

|D| = sqrt(1.11^2 + 3.73^2) = 3.89 m

the magnitude of vector D is 3.89 m

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