Two vectors are presented as a = 6.0i + 4.5j and b = 5.5î + 2.5j. Find the following. (Hint: For (d), consider the equation a b = ab cos o and the figure below.)

An underwater scuba diver sees the Sun at an apparent angle of 31.0° from the vertical. What is actual direction of the Sun? ° (above the horizon)

A camera operator is filming a nature explorer in the Rocky Mountains. The explorer needs to swim across a river to his campsite. By watching debris flowing down the river, the operator estimates that the stream is flowing at 0.625 m/s0.625 m/s . In still water, the explorer can swim at 0.735 m/s0.735 m/s . At what angle, less than 90°, with respect to the shoreline should the operator advise him to swim so that he travels directly across the stream to his campfire The water is near freezing in temperature. Typically a human can only swim in such water for about 300 s300 s (or 5 min5 min ) before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 27.9 m27.9 m wide.

More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (see the table below, all distances are in centimeters), find (a) the type of mirror, (b) the radius of curvature r (nonzero number or O if infinity), (c) the object distance p, (d) the image distance i, whether (e) the image is real or virtual, (f) inverted or noninverted from 0, and (g) on the same side of the mirror as object O or on the opposite side. (a) (b) (c) (d) (e) (f) (g) Туре f r pi m R/V I/NI Side -47 +0.21 (a) (b) Number i Units (c) Number i Units (d) Number i Units (e) (f) (g)