Vector A has angle 30 degrees. Magnitude of vector A = magnitude vector B = 3m.

Question

Vector A has angle 30 degrees. Magnitude of vector A = magnitude vector B = 3m. Find the direction of vector A -2B. Report all angles counterclockwise from positive x-axis.
Please show all steps. Chegg solutions doesn't show steps. Vector A has angle 30 degrees. Magnitude of vector A = magnitude vector B = 3m. Find the direction of vector A -2B. Report all angles counterclockwise from positive x-axis.
Please show all steps. Chegg solutions doesn't show steps.
Please show all steps. Chegg solutions doesn't show steps.

Explanation / Answer

A = Acos30 i + Asin30 j
= 3cos30i + 3sin30 j
= 2.59i + 1.5j
B    = Bi
= 3i

A-2B = (2.59i + 1.5j) - (6i)
= -3.41i + 1.5j
Mag(A-2B)    = -3.412 + 1.52
= 13.878
Ang(A-2B)    = -65.987deg          

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