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Question: If I = (1, 2, 3) and J = (4, 5, 6), calculate I · J.Options: 32302826Correct Answer: 30Sol..
Question: Find the scalar product of the vectors G = (5, -3, 2) and H = (1, 1, 1).Options: 0123Corre..
Question: If E = (1, 1, 1) and F = (2, 2, 2), what is the scalar product E · F?Options: 36912Correct..
Question: Given vectors P = (4, 1, 0) and Q = (0, 2, 3), find the scalar product P · Q.Options: 0681..
Question: If C = (3, -1, 2) and D = (0, 4, -1), what is the value of C · D?Options: -21210Correct An..
Question: Find the angle between the vectors A = (1, 2, 2) and B = (2, 0, 2).Options: 0°45°60°90°Cor..
Question: What are the solutions of the equation sin(x) = sin(π/3)?Options: x = π/3x = 2π/3x = 4π/3x..
Question: Solve the equation tan^2(x) = 3.Options: x = π/3x = 2π/3x = 4π/3x = 5π/3Correct Answer: x ..
Question: What are the solutions of the equation cos(x) = -1/2?Options: 2π/34π/3π/35π/3Correct Answe..
Question: Solve the equation sin(2x) = 1 for x in the interval [0, 2π].Options: π/43π/4π/25π/4Correc..
Question: What are the solutions of the equation sin^2(x) - sin(x) = 0?Options: x = nπx = nπ + π/2x ..
Question: In triangle ABC, if the lengths of the sides are 8 cm, 15 cm, and 17 cm, what is the type ..
Question: If the circumradius R of triangle ABC is 5 cm, what is the maximum area of the triangle?Op..
Question: In triangle ABC, if angle A = 45 degrees and side a = 10 cm, what is the length of side b ..
Question: What is the length of the altitude from vertex A to side BC in triangle ABC with sides a =..
Question: A tree casts a shadow of 20 m when the angle of elevation of the sun is 45 degrees. What i..
Question: A person standing 40 m away from a building observes the top of the building at an angle o..
Question: A man is standing on the ground and observes the top of a building at an angle of elevatio..
Question: From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If ..
Question: A person is standing 30 m away from the foot of a tree. If the angle of elevation to the t..
Question: If sin(2θ) = 2sin(θ)cos(θ), what is this identity called?Options: Pythagorean IdentityDoub..
Question: If sin(θ) = 1/√2, what is the value of θ in the range [0°, 360°]?Options: 45°, 225°30°, 15..
Question: In a group of 50 people, 30 like tea, 20 like coffee, and 10 like both. What is the probab..
Question: A student has a 70% chance of passing an exam. What is the probability that the student fa..
Question: A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the prob..
Question: If the data set is {5, 7, 8, 9, 10}, what is the standard deviation?Options: 1.582.583.584..
Question: Calculate the mean absolute deviation for the data set: 1, 2, 3, 4, 5.Options: 11.522.5Cor..
Question: If the data set has a mean of 50 and a median of 45, what can be said about the data distr..
Question: What is the interquartile range (IQR) of the data set: 1, 3, 5, 7, 9, 11, 13?Options: 4681..
Question: If the scores of 5 students are 10, 20, 30, 40, and x, and the mean is 30, what is the val..
