Vector - practice problems - last page
Number of problems found: 119
- Ballistic curve
The soldier fired the ballistic grenade at a 45° angle. The first half ascended, and the second fell. How far and height did it reach if his average speed was 1200 km/h, and what 12 seconds were taken from the shot to impact? - Airplane navigation
An airplane leaves an airport and flies 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)? - Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
- Bearing - navigation
A ship travels 84 km on a bearing of 17° and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point to the nearest kilometer. - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Vector - basic operations There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto
- 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 = (6, 22) and v = (10, -11) - 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[-6; 8], B[-18; 10]. - 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[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles. - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - 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 the square ABCD. Calculate the area of the square ABCD. - Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
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