![]() What is the magnitude of vector a? a = 3 Turn on Click to measure lengths and use the ruler to check your answer. Magnitude is a scalar, or a number that does not indicate direction. Observe: The magnitude of a vector is the distance from the vector s initial point to its terminal point. Question: How can you determine a vector s magnitude and angle? 1. You will need a scientific calculator for this activity. Which component describes the vector s position along the y-axis? jĢ Activity A: Vector magnitude and angle Get the Gizmo ready: Change vector a so that its notation is 0i + 3j. ![]() Drag the terminal point of a so that it lines up with the y-axis. Which component describes the vector s position along the x-axis? i C. Drag the terminal point of vector a so that it lines up with the x-axis. How did the components of vector a change? They did not change. Move the initial point of vector a to the origin (0, 0) on the grid. What is the unit vector notation of vector a? 2i + 4j 2. The two components written together make up the unit vector notation. Each vector is described by two components: the i component and the j component. The terminal point of each vector is located at the tip of the arrow. The initial point of each vector is shown with a circle. Look at vectors a and b on the Vectors Gizmo grid. Anything with direction and magnitude can be represented using a vector. Gizmo Warm-up Displacement, velocity, momentum, acceleration, and force are all examples of quantities that have both direction and magnitude. Draw an arrow on the diagram showing the direction you think the plane will most likely move. Suddenly, it is hit by a strong crosswind blowing 150 km/h from west to east. 1 Vectors Answer Key Vocabulary: component, dot product, magnitude, resultant, scalar, unit vector notation, vector Prior Knowledge Question (Do this BEFORE using the Gizmo.) An airplane is traveling north at 300 km/h.
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