Question

For the first 4 problems, . à = 4.00 + 5.00j ·B-3.00i-1.20j . С -250i + 500j . E-2101-1.55j F has magnitude 10.00 at an angle of o 30.00 fro the +z axis as measured through the +y axis (the standard convention for ф). ·Ğ has magnitude 2.50 at an angle of = 110.00, using the same angle convention. . H has nnagnitude 7.62 at an angle of ф,-300.00°, using the same angle convention. 1. Components, Magnitudes, and Directions (a) What is A + H? Give r and y components, as well as magnitude and directi (b) What is -3.0č? Give z and y components, as well as magnitude and direction. (e) What is 4.5Č? Give r and y components, as well as magnitude and direction. 2. Vector Addition (a) What is A+5.00B 7.00F? Give r and y components, as well as magnitude and direction (b) what is à + Ğ? Give and y components, as well as magnitude and direction. 3. Dot Products (a) What is B D? (b) What is (A B)+ (E (Č-2.5H))? 4. Cross Products (a) what is A × C? Give x, y, and z components, as well as magnitude and direction. (b) what is 1. (A x 1)? Give z, y, and z components. 5. In September 2018, my research group found a planet orbiting the star 40 Eridani, which, in the series Star Trek, was identified as the system the character "Spock" was from (see, for example, www.startrek.com/article/vulcan-like-planet-found-tor-real). We measured this planet's mass to be about 8.5 times larger than that of the Earth. Assuming "Vulcan" has the same density as Earth (5.51g/cm3), what is its radius (a) in kilometers, (b) in miles, and (c) as a multiple of Earth's radius. 6. Fermi Question: How many bricks are there in Nashville?

Answer 1

2. 36 -3, g 17-6.5 gj 0.2亿1.53 7.51 ISJ -3:8475↑ +10.575 5, 6453 + 2.35j n= 1] (3)(91) + ((.2×4.2) 27.3+504 32.34 う (AB) : (4x3)-(1,2><): 12-6-6 . = 6-lg. 331= -12.5339

E4x6.51) ^ t (5x63.gl))Gxi) =