14.Multiply the following complex numbers: a) (4.5 <48°) and (3.2< 90°) b) (3<150°) and (4-j3) c) (0.8+j0.5) and (1.2-j1.5)
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- Choose the letter of the correct answer. 1) Which list shows the numbers in order from least to greatest a) 3.9 x 10^-2, 3.9 x 10^-3, 9.3 x 10^-3 b) 3.9 x 10^-3, 3.9 x 10^-2, 9.3 x 10^-3 c) 3.9 x 10^-3, 9.3 x 10^-3, 3.9 x 10^-2 d) 9.3 x 10^-3, 3.9 x 10^-3, 3.9 x 10^-2 2) Which of the following is the correct scientific notation for 0.0000935? a) 9.35 x 10^-5 b) 93.5 x 10^-5 c) 9.35 x 10^5 d) 93.5 x 10^5What are (a) the x component, (b) the y component, and (c) the z component of 7 = a - b + if à = 2.8î+ 5.7) – 8.12. b = -4.9î+ 4.4 +3.8k, and 7 = 1.8î + 2.8) + 4.6k. (d) Calculate the angle between and the positive z axis. (e) What is the component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of b but in the plane of a and 7? Just answer de f Answer of a=9.5, b=4.1, c=-7.3Given: A: A₂ = 43.4, Ay = 35.4 B: (B= 16.3 OB = 39.7° (a) Calculate the x-components and y-components of B. B₁ = 9. By= (b) Calculate the length and direction of Ã. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 9- 0A= (c) Calculate the components of the vector sum of A + B = Ć: CT= 9. 0c= 9. Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 9- 0 9.
- 2. If a=2i+4j-5k and b=3i-2j+6k determine: (i) a b (ii) a+b (iii) a X b (iv) the angle between a and b.Two points in the xy plane have Cartesian coordinates (1.50, -3.50) m and (-6.50, 6.50) m. (a) Determine the distance between these points. m (b) Determine their polar coordinates. (1.50, -3.50) (1.50, -3.50) 0 = (-6.50, 6.50) T= (-6.50, 6.50) 0 = m counterclockwise from the +x-axis m counterclockwise from the +x-axisI need help with this attached question: The units given for the answers are also attached.
- 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) / distanceA 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 above1.3 Determines the value of m so that the vectors ū = [-2,6,4] and v = [m,9,6] are: A) collinear B) orthogonal