Gizmo Vectors | Student Exploration: Vectors 2021 | All answers correct

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Student Exploration: Vectors Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. Vocabulary: component, dot product, magnitud... e, resultant, scalar, unit vector notation, vector Prior Knowledge Question (Do this BEFORE using the Gizmo.) An airplane is traveling north at 300 km/h. Suddenly, it is hit by a strong crosswind blowing 150 km/h from west to east. Draw an arrow on the diagram showing the direction you think the plane will most likely move. Explain your answer. Because the wind is coming from the west, it will push the plane towards the east Gizmo Warm-up Displacement, velocity, momentum, acceleration, and force are all examples of quantities that have both direction and magnitude. Anything with direction and magnitude can be represented using a vector. Look at vectors a and b on the Vectors Gizmo grid. The initial point of each vector is shown with a circle. The terminal point of each vector is located at the tip of the arrow. Each vector is described by two components: the i component and the j component. 1. The two components written together make up the unit vector notation. What is the unit vector notation of vector a? -2i + 4j 2. Move the initial point of vector a to the origin (0, 0) on the grid. A. How did the components of vector a change? There were no changes B. Drag the terminal point of vector a so that it lines up with the x-axis. Which component describes the vector’s position along the x-axis? The i C. Drag the terminal point of a so that it lines up with the y-axis. Which component describes the vector’s position along the y [Show More]

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