6l 1612016 10:55 PM 6/16/2016 12:23 PM Question 2 of 7 Sapling Learning this que

Question

6l 1612016 10:55 PM 6/16/2016 12:23 PM Question 2 of 7 Sapling Learning this question was written by Sean Cordry at Walters State Community College Part A Consider the three vectors below. the x- and y components for each vector. (Just use three significant figures.) information about the vectors: Vector Ris horizontal and has a length of 50 units Vector Gis vertical and has length of 30 units B makes a 45° with the negative xaxis and has a length of 40 units. Number Number Rx 35.35 Number Number Gy 21.21 Number Number Bx 28.28 By 28.28 partB: suppose that the vector c such that Ca B. Determine the magnitude of c and calculate the makes with x axis. (Remember: view Previous view Next Exit

Explanation / Answer

for R:

|R| = 50 units, @ = 0

Rx = Rcos@ = 50 cos0 = 50

Ry = R sin@ = 50 sin0 = 0

for G:

|G| = 30 units, @ = 90 deg

Gx = 30sin90 = 0

Gy = 30 cos90 = 30

for B:

|B| = 40

@ = 180 - 45 = 135 deg

Bx = 40 cos135 = - 28.28

By = 40 sin135 = 28.28

2. C = R + G + B

Cx = (50 - 28.28) = 21.72

Cy = 28.28 + 30 = 58.28

C = sqrt(Cx^2 + Cy^2) = 62.19 units

C_@ = tan^-1(58.28 / 21.72) = 69.6 deg from +ve x axis

So 180 - 69.6 = 110.4 deg .........Ans

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