Vector A points 57° counterclockwise fromthe x axis. Vector B is twice as longas

Question

Vector A points 57° counterclockwise fromthe x axis. Vector B is twice as longas A. Their product A×B haslength A2 and points in thenegative z direction. What is the direction ofvector B? (Measure from the positive x axiswith the counterclockwise direction positive.)
Vector A points 57° counterclockwise fromthe x axis. Vector B is twice as longas A. Their product A×B haslength A2 and points in thenegative z direction. What is the direction ofvector B? (Measure from the positive x axiswith the counterclockwise direction positive.)

Explanation / Answer

from the problem find the angle between thevectors        A x B = A Bsin         A2 = A * 2A sin         1/2 = sin             = 30 degrees  or    150 degrees    the angle between A and B, so it looks likethis:                 A is   570 from the x axis, so Bcould be      57 - 30 = 270 from the x axis.or   B couldbe   57 - 150  =  -930 from the x axis.

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