Vector has magnitude 6.00 m and vector has magnitude 3.00 m. the vector product between these two vectors has magnitude 12.0 m2. What are the two possible values for the scalar product of these two vectors? for each value of , draw a sketch that shows and and explain why the vector products in the two sketches are the same but the scalar products differ.

Solution 92P Step 1: Provided magnitude of vector A = 6 m Magnitude of vector B = 3 m Then their vector product would be, A × B = AB sin Provided, A × B = 12 m2 2 Therefore, 12 m = 6m × 3m × sin 2 2 sin = 12 m / 18 m sin = 2/ 3