Arobot maneuvers itself by using a laser guidance system where the positions of reflective targets, such as at points b and c, are known. by scanning the room with a laser that emanates from point a and sensing the reflections from targets b and c, the robot may compute the direction cosines of position vectors as given below. the locations of other points, such as point d at the base of the ramp, are also known, but such locations do not have reflective targets. determine the position vector from point a to point d so that the robot may move from its current position to the base of the ramp at point d. take the coordinates of point b as (0, 0, 122) cm and point c as (250, -45, 90) cm.

Astudent is performing an experiment comparing sound and light waves. the student gathers the following data. what conclusion does the student most likely make based on this data? light waves always travel the same speed; however, the speed of sound is determined by the medium that it travels through. all sound waves always have the same energy, so the temperature of the medium does not affect wave speed. light needs to vibrate particles, so it travels fastest in tightly packed solids, while sound does not need a medium, so it travels fastest in a gas. tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

Which is the correct symbol for an isotope of iodine with 53 protons and 78 neutrons?

Adiver named jacques observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). the temperature at the bottom is 4.00 ∘c, and the temperature at the surface is 23.0 ∘c.what is the ratio of the volume of the bubble as it reaches the surface (vs) to its volume at the bottom (vb)? if jaques were to hold his breath the air in his lungs would be kept at a constant temperature. would it be safe for jacques to hold his breath while ascending from the bottom of the lake to the surface?