The vector v has magnitude 13 and makes an angle 285 of with the positive x direction ?

Question

The vector v has magnitude 13 and makes an angle 285 of with the positive x direction.

Express v in terms of components, with i and j being unit vectors pointing in the positive x and y directions respectively. Give each component to one decimal place.

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Answer 1 · 2018-02-25T13:02:57

Given: #vecv = 13angle285^@#

#vecv = 13cos(285^@)hati+13sin(285^@)hatj#

#vecv = 3.4hati-12.6hatj#

Answer 2 · 2018-02-25T13:09:40

The vector is expressed as, #3.4i-12.6 j#

The diagram below explains the situation,

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