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Solved Examples
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BB  Let v = AB, where A = (- 5, - 7) and B = (5, 7). Which of the following is the component form of the vector v?  BB View Solution
BB  Let u = PQ where P = (15, 4) and Q = (- 6, 32). Which of the following is the magnitude of vector u?  BB View Solution
BB  Let u = <- 5, 8> and v = <8, 12>. Which of the following is the component form of the vector u + v?  BB View Solution
BB  Let u be the vector represented by the directed line segment from A = (- 4, 10) to B = (- 6, 7) and v be the vector represented by the directed line segment from C = (2, 3) to O = (0, 0). Which of the following is correct?
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BB  Let u = <12, 16> and v = <36, 48>. Which of the following is correct?  BB View Solution
BB  Let v = <- 9, 14>. Which of the following is the component form of the vector - v?  BB View Solution
BB  Let v = <4, 7>. Which of the following is the component form of the vector 3v?  BB View Solution
BB  Which of the following is the unit vector in the direction of the vector v = <24, 32> ?
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BB  Which of the following is the vertical component of the vector v with direction angle 405° and the magnitude 42?
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BB  What is the direction angle of the vector <6, 6>?
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BB  Let u = <6, 5> and v = <3, - 4>. Which of the following is the component form of the vector u - v?
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BB  An aircraft is flying on a bearing of 60° at 1010 mph. Find the component form of the velocity of the aircraft.
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BB  Which of the following is correct?  BB View Solution
BB  Which of the following is correct?
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BB  Which of the following is correct?  BB View Solution
BB  Which of the following is correct?
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BB  Which of the following is correct?  BB View Solution
BB  Which of the following is correct?
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BB  Let u be the vector represented by the directed line segment from A = (- 2, 12) to B = (- 6, 5) and v be the vector represented by the directed line segment from C = (4, 7) to O = (0, 0). Which of the following is correct?
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BB  Let u = <15, 20> and v = <45, 60>. Which of the following is correct?  BB View Solution
BB  Let u = <a, b> and v = <c, d>. Which of the following is correct?
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BB  Let v = <v1, v2>. Which of the following is correct?  BB View Solution
BB  Let v = AB, where A = (- 6, - 11) and B = (6, 11). Which of the following is the component form of the vector v?  BB View Solution
BB  Let u = PQ where P = (6, 12) and Q = (- 3, 24). Which of the following is the magnitude of vector u?  BB View Solution
BB  Choose the component form of the zero vector.
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BB  Let v = <- 8, 10>. Which of the following is the component form of the vector - v?  BB View Solution
BB  Let u = <- 3, 6> and v = <6, 8>. Which of the following is the component form of the vector u + v?  BB View Solution
BB  Let v = <6, 9>. Which of the following is the component form of the vector 3v?  BB View Solution
BB  Let u = <5, 4> and v = <3, - 4>. Which of the following is the component form of the vector u - v?
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BB  Which of the following is correct?
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BB  Which of the following is the unit vector in the direction of the vector v = <12, 16> ?
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BB  What is the direction angle of the vector <5, 5>?
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BB  A force of 60 pounds just keeps the box in the figure from sliding down. Find the weight of the box?
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BB  Find the direction angle of the vector V= 8i + 83j.
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BB  The horizontal and vertical components of a force acting on a body are 9 Newtons 12 Newtons. Find the magnitude of the force.  BB View Solution
BB  The velocity V of an airplane is given by PQ where P = (6, 12) and Q = (24, 36). Find the magnitude of V.  BB View Solution
BB  An airplane is flying in a direction of θ = 41° from north at 153 mi/h, and the wind is blowing from due north at 17 mi/h as shown. Find the ground speed of the plane in mi/h.  BB View Solution
BB  Let v = <a, b>. Which of the following is correct?  BB View Solution
BB  A ball is thrown at an angle 30° to the horizontal with a velocity of 28 feet per second. Find the horizontal component of the velocity of the ball initially.  BB View Solution
BB  The vector v shown makes an angle θ with positive x-axis in the clockwise direction. Find the horizontal component of v.  BB View Solution
BB  Which of the following is the vertical component of the vector v with direction angle 315° and the magnitude 52?
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BB  An aircraft is flying on a bearing of 60° at 1030 mph. Find the component form of the velocity of the aircraft.
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BB  Two forces F1 = 42 lb and F2 = 32 lb act on a body and the resultant force is F3 = 52 lb. Find the measure of the angle between the two forces.  BB View Solution
BB  An insect started at A and moved a units right and reached B, then it moved b units up and reached C as shown. Find the displacement of the insect when a = 12, b = 16.
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BB  An airplane is flying in a direction of θ = 43° from north at 153 mi/h, and the wind is blowing from due north at 18 mi/h as shown. Find the ground speed of the plane in mi/h.  BB View Solution
BB  Two forces F1 = 35 N and F2 = 84 N act on a body at right angles. Find the resultant force.  BB View Solution
BB  Two forces F1 = 13 lb and F2 = 13 lb act on a body and the resultant force is F3 = 13 lb. Find the measure of the angle between the two forces.
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