Vector A has magnitude 5.00 m and lies in the xy-plane in adirection 53.0o from the +x-axis axis measured toward the +y-axis.Vector b has magnitude 8.00 m and a direction you can adjust. (a) Youwant the vector product A : B to have a positive z-component of thelargest possible magnitude. What direction should you select for vectorB S? (b) What is the direction of B for which A : B has the mostnegative z-component? (c) What are the two directions of B S for whichA : B is zero?

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Vector A has magnitude 5.00 m and lies in the xy-plane in a
direction 53.0o from the +x-axis axis measured toward the +y-axis.
Vector b has magnitude 8.00 m and a direction you can adjust. (a) You
want the vector product A : B to have a positive z-component of the
largest possible magnitude. What direction should you select for vector
B S
? (b) What is the direction of B for which A : B has the most
negative z-component? (c) What are the two directions of B S for which
A : B is zero?

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