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Vector v has a magnitude of 23 and a direction angle of 270 degrees. Write this vector as a linear combination of the standard unit vectors i and j.
v=248.5i+15.5j
v=248.5i-105.5j
v=-23i
v=-23j

Respuesta :

DeadpoolDude152
Just saw a question like this on my own test, the answer would be choice D
apocritia

Solution:

we are given that

Vector v has a magnitude of 23 and a direction angle of 270 degrees.

we have been asked to find vector as a linear combination of the standard unit vectors i and j.

The vector as a linear combination of the standard unit vectors i and j can be written as below

[tex] 23cos270i+23sin270j\\
\\
cos270=0\\
\\
sin270=-1\\
\\
23cos270i+23sin270j=0-23j\\
\\
23cos270i+23sin270j=-23j\\ [/tex]

Hence the correct option is -23j.

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