Question

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

Answer 1

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

Answer 2

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

`image`

Hence the correct option is -23j.