Consider the two vectors a with arrow = î − 3 ĵ and b with arrow = − î − 2 ĵ.
(a) calculate a with arrow + b with arrow
î + ĵ
(b) calculate a with arrow − b with arrow
î + ĵ
(c) calculate
abs1.gif
a with arrow + b with arrow
abs1.gif
(d) calculate
abs1.gif
a with arrow − b with arrow
abs1.gif
(e) calculate the directions of a with arrow + b with arrow and a with arrow − b with arrow.
a with arrow + b with arrow ° (counterclockwise from the +x axis)
a with arrow − b with arrow ° (counterclockwise from the +x axis)

True or false when elements combine to form a mixture, the resulting chemical properties may be very different from those of the elements that make it.

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?

An electric power distributor charges residential customers $0.10 per kilowatt-hour (kwh). the company advertises that "green power" is available in 150 kwh blocks for an additional $4 per month. (green power is generated from solar, wind power, and methane sources.) if a certain customer uses an average of 391 kwh per month and commits to one monthly 150 kwh block of green power, what is her annual power bill