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

Answer 1

The answer for Honors Pre-calculus Connections Academy unit 5 lesson 4 Direction Angle is:

1. B 110.6 degrees
2. C u=(3.5,2)
3. D v=-23j
4. A 25 knots at 166.5 degrees.
100%

My sources: I did the quick check myself.

Answer 2

For this case we can write the vector in the following way:
v = 23 (cos (270) i + sin (270) j)
Rewriting we have:
v = 23 (0i - 1j)
v = -23j
Answer:
The vector written as a linear combination is given by:
v = -23j