Vector - practice problems - last page
Number of problems found: 133
- Vector - basic operations
Given points A[-9; -2], B[2; 16], C[16; -2], and D[12; 18]: a. Determine the coordinates of vectors u = AB, v = CD, and s = DB. b. Calculate the sum of vectors u + v. c. Calculate the difference of vectors u − v. d. Determine the coordinates of the vector - 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? - Vector sum The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v?
- Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21) - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Unit vector 2D
Find coordinates of unit vector to vector AB if A[3; 6], B[15; -8]. - Vector Determine coordinates of the vector u=CD if C[12;-8], D[6,20].
- Vectors
For a vector w is w = 2u-5v true. Find coordinates of vector w if u=(3, -1), v=(12, -10). - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Vector
Calculate the length of the vector v = (2.5, -0.25, -3.75, -2.25). - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p? - Square
Points A[9,9] and B[-4,1] are adjacent vertices of square ABCD. Calculate the area of square ABCD. - Crossroads
A passenger car and an ambulance approach a rectangular intersection, and the ambulance turns off. The passenger car is moving at 39 km/h and the ambulance at 41 km/h. Calculate the relative speed of the ambulance with respect to the car.
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