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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?  BB View Solution
 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> ?  BB View Solution
 BB  Which of the following is the vertical component of the vector v with direction angle 405° and the magnitude 42?  BB View Solution
 BB  What is the direction angle of the vector <6, 6>?  BB View Solution
 BB  Let u = <6, 5> and v = <3, - 4>. Which of the following is the component form of the vector u - v?  BB View Solution
 BB  An aircraft is flying on a bearing of 60° at 1010 mph. Find the component form of the velocity of the aircraft.  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 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?  BB View Solution
 BB  Let u = <15, 20> and v = <45, 60>. Which of the following is correct?  BB View Solution
 BB  Let u = and v = . Which of the following is correct?  BB View Solution
 BB  Let v = . 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.  BB View Solution
 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?  BB View Solution
 BB  Which of the following is correct?  BB View Solution
 BB  Which of the following is the unit vector in the direction of the vector v = <12, 16> ?  BB View Solution
 BB  What is the direction angle of the vector <5, 5>?  BB View Solution
 BB  A force of 60 pounds just keeps the box in the figure from sliding down. Find the weight of the box?  BB View Solution
 BB  Find the direction angle of the vector V= 8i + 83j.  BB View Solution
 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 = . 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?  BB View Solution
 BB  An aircraft is flying on a bearing of 60° at 1030 mph. Find the component form of the velocity of the aircraft.  BB View Solution
 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.  BB View Solution
 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.  BB View Solution