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Question: What is the resultant of the vectors (2, 3) and (-1, 4)?Options: (1, 7)(3, 1)(1, 1)(2, 4)C..
Question: If the vector a = (2, 3) and b = (4, 1), what is the cross product a × b?Options: -101005C..
Question: If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?Options: (2, 3)(1, 2)(3, 4)(4, ..
Question: Find the unit vector in the direction of the vector (6, 8).Options: (0.6, 0.8)(0.8, 0.6)(1..
Question: If u = (1, 2) and v = (3, 4), what is the dot product u · v?Options: 1011127Correct Answer..
Question: What is the magnitude of the vector v = (3, -4)?Options: 5743Correct Answer: 5Solution: Ma..
Question: For the vectors A = (1, 0, 0) and B = (0, 1, 0), what is the scalar product A · B?Options:..
Question: If A = (1, 2, 3) and B = (x, y, z) such that A · B = 14, find the value of x + y + z.Optio..
Question: If A = (a, b, c) and B = (1, 2, 3) such that A · B = 0, what is the relation between a, b,..
Question: Calculate the scalar product of A = (1, 1, 1) and B = (2, 2, 2).Options: 3456Correct Answe..
Question: If A = (2, 3, 4) and B = (k, 0, -1) are perpendicular, find k.Options: -4-3-2-1Correct Ans..
Question: What is the scalar product of the vectors A = (1, 2, 3) and B = (4, 5, 6)?Options: 3230282..
Question: What is the primary characteristic of a sigma bond?Options: Formed by side-to-side overlap..
Question: Which molecular shape corresponds to a molecule with a central atom that has one lone pair..
Question: What is the effect of increasing the electronegativity difference between two bonded atoms..
Question: What type of intermolecular force is primarily responsible for the high boiling point of w..
Question: Which molecular geometry is associated with sp2 hybridization?Options: LinearTrigonal plan..
Question: What is the primary factor that determines the strength of a covalent bond?Options: Electr..
Question: In which type of bond is the electron density concentrated above and below the bond axis?O..
Question: Which of the following hybridizations corresponds to a tetrahedral molecular geometry?Opti..
Question: If sin(x) = 0, what is the value of tan(x)?Options: 01undefined∞Correct Answer: undefinedS..
Question: Find the values of x that satisfy the equation 3sin(x) - 2 = 0.Options: π/65π/6π/27π/6Corr..
Question: Solve the equation 2sin(x) - 1 = 0 for x in the interval [0, 2π].Options: π/65π/6π/27π/6Co..
Question: A person is standing 25 meters away from a vertical cliff. If the angle of elevation to th..
Question: A person standing on the ground observes the top of a tree at an angle of elevation of 45 ..
Question: A kite is flying at a height of 100 meters. If the angle of depression from the kite to a ..
Question: A person is standing at a distance of 40 meters from the base of a building. If the angle ..
Question: A man is standing 50 meters away from a vertical pole. If he looks up at an angle of eleva..
Question: If cos(θ) = 1/2, what are the possible values of θ in degrees?Options: 30, 15045, 13560, 1..
Question: In a lottery, there are 10 tickets, of which 2 are winning tickets. What is the probabilit..
