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Suppose the Vector w has magnitude 15 and makes an angle of 119 degree with the positive x- axis (measured counterclockwise), when w is in standard position.write w in the form w=ai+bjDo not round any Intermediate computations, and round the values in your answer to the nearest hundredths.

Sagot :

Problem

Suppose the Vector w has magnitude 15 and makes an angle of 119 degree with the positive x- axis (measured counterclockwise), when w is in standard position.



write w in the form w=ai+bj

Solution

for this case we know that the magnitude of the vector is 15 and the angle is 115. So we can find the components on the following way:

a= 15 cos (119) = -7-27

b= 15 sin (119)= 13.12

And then we can write the following solution:

w = -7.27 i + 13.12 j

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