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Question: A circuit contains a 12V battery and two resistors of 4 ohms and 8 ohms in series. What is..
Question: What is the equation of the line passing through the points (1, 2, 3) and (4, 5, 6)?Option..
Question: If the position vector of a point P is (x, y, z) and the vector a = (1, 2, 3), what is the..
Question: What is the unit vector in the direction of (3, 4, 0)?Options: (0.6, 0.8, 0)(0.8, 0.6, 0)(..
Question: If the vector a = (2, 3, 4) and b = (1, 0, -1), what is the scalar triple product a · (b ×..
Question: What is the cross product of the vectors (1, 2, 3) and (4, 5, 6)?Options: (-3, 6, -3)(-3, ..
Question: Find the angle between the vectors (1, 0, 0) and (0, 1, 0).Options: 0 degrees90 degrees45 ..
Question: If u = (1, 2, 3) and v = (4, 5, 6), what is the dot product u · v?Options: 32272630Correct..
Question: What is the magnitude of the vector (2, -3, 6)?Options: 7985Correct Answer: 9Solution: Mag..
Question: If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?Options: (3, 3..
Question: Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).Options: 12186..
Question: If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, find a + b + c.Options: 5678Correct An..
Question: If A = (x, y, z) and B = (2, 3, 4), and A · B = 10, find the value of x + y + z.Options: 1..
Question: Calculate the scalar product of the vectors A = (4, -1, 2) and B = (2, 3, 1).Options: 1086..
Question: If the scalar product of two vectors A and B is 0, what can be said about the vectors?Opti..
Question: What is the value of tan(30°)?Options: √3/31/√3√33Correct Answer: √3/3Solution: tan(30°) =..
Question: If sin(x) = 0, what is the value of cos(x)?Options: 10-1undefinedCorrect Answer: 1Solution..
Question: If sin(x) = 1/√2, what is the value of cos(x)?Options: 1/√20√2/21Correct Answer: 1/√2Solut..
Question: If cos(x) = 1/2, what is the value of sin(x)?Options: √3/21/20√2/2Correct Answer: √3/2Solu..
Question: Solve the equation sin(3x) = 0 for x in the interval [0, 2π].Options: 0, π, 2π0, π/3, 2π/3..
Question: Find the values of x that satisfy 3cos^2(x) - 1 = 0.Options: π/3, 2π/30, ππ/2, 3π/20, 2πCo..
Question: Find the general solution of the equation sin(x) = sin(2x).Options: x = nπx = nπ/3x = nπ/2..
Question: Solve the equation 2sin(x) + √3 = 0 for x in the interval [0, 2π].Options: 5π/3π/32π/34π/3..
Question: Find the values of x that satisfy sin^2(x) - sin(x) = 0.Options: 0, π0, π/20, 2π0, 3π/2Cor..
Question: In triangle ABC, if the lengths of the sides are 8, 15, and 17, what is the type of triang..
Question: What is the circumradius of a triangle with sides 7, 24, and 25?Options: 12.5131415Correct..
Question: In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what is angle C?Options..
Question: If the angles of triangle ABC are in the ratio 2:3:4, what is the measure of the largest a..
Question: In triangle ABC, if the lengths of the sides are a = 5, b = 12, and c = 13, what is the pe..
Question: What is the length of the altitude from vertex A to side BC in triangle ABC with sides AB ..
