Find the angle between the planes x +y = 1 and 2x + y -2z =2
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- A = 2 X 1025, B = 4.5 X 10-10, C = 3 X 10-6. AB/C = ? (2) ACB = ? (3) The Moon is approximately 400,000 km from the Earth. An atom of a certain element has a diameter of 4 X 10-8 cm. Given 1 km = 1,000 m and 1 m = 100 cm, about how many atoms of this element can be lined up between Earth and Moon? (4) A spherical planet has a radius of 2,000 km and a mass of 1025 kg. Calculate its density (mass/volume) in kilograms per cubic meter. (5) How many of the atoms in Question (3) can fit within a spherical planet with a diameter of 2 X 104 km? (6) An asteroid’s radius is 200 m and its distance from Earth is 107 km. What angle in degrees (θ) will it subtend? Use the equation θ = 57 (diameter) / distanceGiven these vectors: A = (-7.3)î + (3) + (5.4)k B = (6.6)î + (3.5)ĵ + (6.1)k č = (-1.7)î + (2.8)ĵ + (9.6)k Find (2Ä – B) · Č. %3D %3D Find the angle 60 between these two vectors: A = (6.5)î + (2.6)ĵ B = (8.3)î + (5.1)} %3DA 15-meter ladder is resting against a wall and makes an angle of 40 degrees with the ground. Find the height to which the ladder will reach on the wall in terms of a trigonometric function. a) O15 cos(40) [m] b) O15 cos(50) [m] c) O15 tan(40) [m] d) O15 sin(50) [m] e) ONone of the above
- I need help to solve the angle in this equation. Assume F+ =F- F+ = m2g-m1gsin θ F- = m1gsin θ-m2g (m+2g-m1gsin θ ) = (m1gsin θ-m-2g) θ= ???Displacement d1 is in the yz plane 59.9° from the positive direction of the y axis, has a positive z component, and has a magnitude of 3.39 m. Displacement d2 is in the xz plane 20.8° from the positive direction of the x axis, has a positive z component, and has magnitude 1.02 m. What is the angle between d1 and d2?