High School

Vector A has a magnitude of 5.00 and is at an angle of 36.9 degrees south of east. Vector B has a magnitude of 6.40 and is at an angle of 20.0 degrees west of north.

Choose the correct statement:

A) A has a magnitude of 5.00 and is at an angle of 36.9 degrees south of east.
B) A has a magnitude of 5.00 and is at an angle of 36.9 degrees north of west.
C) B has a magnitude of 6.40 and is at an angle of 20.0 degrees west of north.
D) B has a magnitude of 6.40 and is at an angle of 20.0 degrees east of south.

Answer :

Final answer:

A. has a magnitude of 5.00 and is at an angle of 36.9 degrees south of east.

The correct statement regarding the direction and magnitude of vector A is Option A, which accurately reflects the description given: a magnitude of 5.00 and directed 36.9 degrees south of east.

Explanation:

The question involves understanding the addition of vectors and interpreting their directions correctly. To address the question presented, we start by recognizing that vector A is described as having a magnitude of 5.00 and is directed 36.9 degrees south of east, while vector B is said to have a magnitude of 6.40 and is directed 20.0 degrees west of north. Given the information and the options provided, Option A directly restates the correct description of vector A as given in the question, making it the correct statement. Option C correctly describes vector B but does not answer the specific question posed about vector A's angle of orientation.

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