Answer Happy

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1. A Position Vector Below are two sets of vector components. Draw a sketch of each vector that shows the value of its magnitude and a reference angle for describing its direction. Use the standard Cartesian coordinate system where xhat points to the right and yhat points up. A. C = 3 ft Cy = 6 ft B. dx = -5 ft dy = 15 ft 2. Cartesian Dot Products Prove that each of the following is true. Then explain why these products are useful shortcuts. A. =ŷ y = 2.2 = 1 ●C B. y = y2 = 2 x = 0 x . 3. Components of a Magnetic Field You're measuring a magnetic field B in a lab. To do so, you measure its components (in units of tesla) to be Bx = 1 tesla, By = -3 tesla, Bz = 5 tesla. What's the magnitude of this magnetic field? How would you draw an illustration of this magnetic field? OR what makes it difficult to draw an illustration of this magnetic field?