A certain slide projector has a 100 mm focal length lens. (a) How far away is the screen, if a slide is placed 103 mm from the lens and produces a sharp image? (b) If the slide is 24.0 by 36.0 mm, what are the dimensions of the image? Explicitly show how you follow the steps in the Strategy for lenses.

Vectors Position and displacement vectors Vector Addition and subtraction Velocity and acceleration vectors Multiplying vectors Vector and Scalar Vector: a quantity that has both magnitude and direction Scalar: a quantity that has only magnitude How to express a Vector: Graphical: An arrow with a magnitude and directions Components: a component of a vector is the projection of the vector on an axis; the x- component and the y-component. o Magnitude is the square root of x + y 2 Unit vectors: a vector that has a magnitude of 1 and points in a particular directions; it specifies only a direction. Position Vector The Location of a particle relative to the origin is given by a position vector. Displacement Vector Displacement is the shortest distance from the initial to the final position Average velocity in 3 dimensions: Time (t) scalar Position (r->) vector Displacement: Δr->=r->-r-> 0 Time interval: Δt= t-0 Definitions Acceleration: velocity is speeding up, slowing down, or changing direction Speed: magnitude of the velocity vector Speeding up: velocity vector’s magnitude is increasing Slowing down: velocity vector’s magnitude is decreasing