# Absolute value + vector - math problems

#### Number of problems found: 16

• Space vectors 3D The vectors u = (1; 3; -4), v = (0; 1; 1) are given. Find the size of these vectors, calculate the angle of the vectors, the distance between the vectors.
• Vectors abs sum diff The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
• Calculate 6 Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
• The modulus Find the modulus of the complex number 2 + 5i
• Angle of the body diagonals Using vector dot product calculate the angle of the body diagonals of the cube.
• Coordinates of square vertices The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
• Find the 5 Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0
• Rectangle 39 Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4) 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?
• Vectors Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
• Unit vector 2D Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
• Triangle Plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3] give Triangle KLM. Calculate its area and its interior angles.
• Vector Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
• Square Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD. A passenger car and an ambulance come to the rectangular crossroad, the ambulance left. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate such a relative speed of the ambulance move to the car.