Vector - practice problems
Number of problems found: 84
- Components 67664
The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30 °, β = 45 ° with the direction R. What are the components F1, F2? - Calculate 66814
Calculate the area and perimeter of the right triangle ABC, if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - Raindrops
The car runs on a horizontal track at a constant speed of 20 m2-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro - Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle - Vectors Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6)
- Coordinate 59833
Determine the unknown coordinate of the vector so that the vectors are collinear: e = (7, -2), f = (-2, f2) c = (-3/7, c2), d = (- 4.0) - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Coordinates 59763
The vectors v = (2.7; -1.8), w = (-3; 2.5) are given. Find the coordinates of the vectors: a = v + w, b = v-w, c = w-v, d = 2 / 3v - 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. - Displacement 55871
Assemble the two offsets d1 and d2 shown by OA and OB oriented lines. The coordinates of the points are O = (0m, 0m), A = (3m, 3m), B = (5m, 2m). Measure the magnitude of the resulting displacement d. - CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all case - The bomber
From what distance in front of the target must a parachute load be dropped from an aircraft flying at an altitude of 1260 m if it slopes at a speed of 5.6 m/s and at the same time is carried in the direction of movement at a speed of 12 m/s. What is the d - 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.
- Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s. - 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|. - 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. - Determines: 33451 The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lies on the line p C) parametric equations
- Place vector Place the vector AB, if A (3, -1), B (5,3) in the point C (1,3) so that AB = CO
- Ascend vs. descent Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2
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