Length + vector - math problems

Number of problems found: 9

  • Angle ASB
    On a circle with a radius of 10 cm and with a center S, the points A, B, C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circle arc and the amount of AB and AC offsets.
  • Perpendicular projection
    Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0.
  • Three points
    Three points K (-3; 2), L (-1; 4), M (3, -4) are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write the d
  • Calculate 6
    Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
  • Parametric form
    Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. ..
  • Overtaking
    On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and after passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h, the bus goes at a steady speed of 54 km/h.
  • Airplane navigation
    An airplane leaves an airport and flies to west 120 miles and then 150 miles in the direction S 44.1°W. How far is the plane from the airport (round to the nearest mile)?
  • 3d vector component
    The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
  • Vector
    Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).

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