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Question: What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?Options: 30354045Correct..
Question: If E = (2, -1, 3) and F = (1, 2, 0), what is E · F?Options: -1012Correct Answer: -1Solutio..
Question: Calculate the scalar product of the vectors (1, 2, 3) and (4, 5, 6).Options: 32333435Corre..
Question: If C = (0, 1, 2) and D = (3, 4, 5), what is C · D?Options: 10111213Correct Answer: 10Solut..
Question: Find the scalar product of the vectors (3, -2, 5) and (1, 4, -1).Options: -1012Correct Ans..
Question: What is the value of cos(180°)?Options: 0-11UndefinedCorrect Answer: -1Solution: cos(180°)..
Question: Which of the following is true for all angles A?Options: sin^2 A + cos^2 A = 1tan A = sin ..
Question: If sin A = 1/2, what is the value of A in degrees?Options: 30456090Correct Answer: 30Solut..
Question: What is the value of sin(90° - A)?Options: cos Asin Atan Asec ACorrect Answer: cos ASoluti..
Question: Which of the following is the correct identity for sin(2A)?Options: 2sinAcosAsin^2A + cos^..
Question: If cos B = 1/2, what is the value of sin B?Options: √3/21/20√2/2Correct Answer: √3/2Soluti..
Question: Which of the following is a functional group characteristic of alkynes?Options: -OH-NH2-C≡..
Question: Which reaction mechanism is primarily involved in the addition of H2 across an alkene?Opti..
Question: What is the correct IUPAC name for the compound with the formula C5H10?Options: PentaneCyc..
Question: Which of the following is a characteristic feature of alkenes?Options: Saturated hydrocarb..
Question: What are the solutions of the equation cos^2(x) - 1/2 = 0?Options: x = π/4x = 3π/4x = 5π/4..
Question: Solve the equation tan^2(x) = 3 for x in the interval [0, 2π].Options: π/32π/34π/35π/3Corr..
Question: Find the general solution of the equation sin(x) + √3 cos(x) = 0.Options: x = (2n+1)π/3x =..
Question: In triangle ABC, if the lengths of the sides are 5, 12, and 13, what is the perimeter?Opti..
Question: If the medians of a triangle are 6, 8, and 10, what is the area of the triangle?Options: 2..
Question: In triangle ABC, if angle A = 45° and side a = 10, what is the length of side b if angle B..
Question: What is the circumradius R of a triangle with sides a = 7, b = 24, c = 25?Options: 1210152..
Question: In triangle ABC, if AB = 8, AC = 6, and BC = 10, what is the semi-perimeter?Options: 12141..
Question: In triangle ABC, if the sides are in the ratio 3:4:5, what is the nature of the triangle?O..
Question: The area of triangle ABC is 30 square units, and the base BC is 10 units. What is the heig..
Question: In triangle ABC, if the lengths of sides a, b, and c are 7, 24, and 25 respectively, what ..
Question: In triangle ABC, if angle A = 60° and angle B = 70°, what is angle C?Options: 50°60°70°80°..
Question: What is the value of cos(2θ) if sin θ = 1/2?Options: 1/20-1/21Correct Answer: -1/2Solution..
Question: If sin A = 1/√2, what is the value of A?Options: 45°30°60°90°Correct Answer: 45°Solution: ..
Question: If sin A = 0.6, what is the value of cos A?Options: 0.80.60.40.2Correct Answer: 0.8Solutio..
