The scalar product of vectors
→
a
and
→
b
is +48.0m2. vector
→
a
has magnitude 9.00 m and direction 28.0∘ west of south. if vector
→
b
has direction 39.0∘ south of east, what is the magnitude of
→
b
.?

B = 27.95 m.

Explanation:

The scalar product between two vectors are

where Θ is the angle between the vectors.

We need to find the angle between the vectors by using the information given in the question.

If A is directed 28° west of south and if B is directed 39° south of east, then the angle between them is 79°.

Let's plug the variables into the scalar product: