11. The velocity of the current in a river is č = 0.67 +0.87 km/hr. A boat moves relative to the water with velocity i = 8ĩ km/hr. (a) What is the speed of the boat relative to the riverbed? (b) What angle does the velocity of the boat relative to the riverbed make with the vector i ? What does this angle tell us in practical terms?

Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: A balloon floats 18.5 kilometers east and then 24.6 kilometers north. What is the angle of the…

A:

Q: 3. A pilot flies with a ground velocity of 280 km/h on a bearing of 292°. There is a 55 km/h wind…

A:

Q: what is the magnitude of the vector

A:

Q: A migrating salmon heads in the direction N 45 E, swimming at 5 mi/h relative to the water. The…

A: Let the speed of salmon is representated by v. v = 5 mi/h And The current of the ocean is u. u = 3…

Q: What’s the difference between a ray and a vector?

A: The vector has finite magnitude and direction, while the ray has direction  and starting point and…

Q: The vector describing a particular particle is given by F (t) = Rcos (wt) î + R sin (wt) ĵ, where R…

A:

Q: How do you find a vector's magnitude and direction?

A:

Q: Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One…

A: Solution:

Q: The vectors, a and b represent two the same point and forces acting at at is the smallest positive…

A:

Q: 5. Determine the resultant of two vectors with magnitudes of 30 and 70 units and an angle of 45…

A:

Q: A projectile is launched with an initial speed of 140 ft/sec from ground level at an angle of to the…

A:

Q: The opposite of a vector is a vector with the ______ magnitude and __________direction. To obtain…

A: we know that opposite of a vector is a vector with same magnitude and opposite direction. to obtain…

Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: 16. If vectors A and B are opposite vectors and the magnitude of A is 5, what is the magnitude of B…

A: Magnitude either positive or zero

Q: A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels…

A: please see the next step for solution

Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

A:

Q: 4. A bullet is fired from ground level at a speed of 2200 feet per second at an angle of 30° from…

A: This is a problem related to vector components. Based on the general formula and concept we will…

Q: A bullet is fired into the air with an initial velocity of 869 feet per second at an angle of 54°…

A:

Q: In Problem ,find the unit vector in the same direction as v. v = 5i

A:

Q: Two forces F1 = 6i + 8k and F2 = 5i – 10j + 10k act on a point object. What is the angle (to the…

A: When two forces acting on a object at the same point the resultant force is the sum of both forces…

Q: 3. if the position function vector r = ti +6tj , find the direction of the vector at time 1 sec جد…

A: The position function vector is,  r=t3i + 6tj To determine the direction of the vector at time t = 1…

Q: 14. A constant force of 10 newtons is being applied at a constant angle of 45° on an object at the…

A:

Q: 1. A force vector has a magnitude of 23 N and makes an angle of 35° with the x-axis. What is the…

A: We know that, vertical component = y-axis

Q: Set la 1b 1c 1d 2a 2b 2c 2d 3a 3b 3c 3d 4a 4b 4c 4d Ax 20 -29 -24 50 176.28 37.49 -101.33 -14.90 -80…

A: We need to determine the unknown parameters using the known parameters out of Ax, Ay, Magnitude of…

Q: In this lab you will be given some values for a vector and will need to determine the missing…

A: According to guidelines in a multiple subpart question we are required to solve the first three…

Q: A river flows due south at 3 mi/h. A swimmer attempting to cross the river heads due east swimming…

A: It is given that, a river flows due south at 3 mi/h. A swimmer attempting to cross the river heads…

Q: A leaf is floating on a river to the S30°E at 6 km/h. A wind blows to the west at a rate of 3 km/h.…

A: Given : Leaf is floating at 6 km/h and wind is blowing at 3 km/h

Q: 3. As the Marine Engineer on board the vessel ABC Marine, you are required to verify that the…

A: The given details: The vessel ABC Marine leaves a harbour and sails 4.5 km in the direction 55…

Q: 18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal.…

A: Given Speed of a ball =5 feet per…

Q: 2/63 A partícale which moves in two-dinensional إحراثیاته' - حركه با لبوصة motion has Coordinates…

A:

Q: If v = 3i - 4j is a velocity vector, express v as a product of its magnitude (its speed) times its…

A: To Determine: If v=3i-4j is a velocity vector, express v as a product of its magnitude (its speed)…

Q: Find the angle θ between the two vectors.

A: We need to find the angle θ between the two vectors.

Q: 1) Find the component form of the vector that represents the velocity of an airplane descending at a…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Find all points of intersection of the graphs of the two equations y = x2,          y = x1/3, (a)…

A: Note there are many subparts in the questions. So I will answer first two from the questions Given:…

Q: b. A tennis ball is served horizontally from 2.4 m above the ground at 26m/s. The net is 11.5m away…

A:

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A: We can find the answer as below

Q: 3. A rocket is fired at an angle of 25° to the ground with an initial velocity of 120mls.Resolve the…

A: The velocity vector can be represented by v→=vxi→+vyj→, where vx and vy are the horizontal and the…

Q: To make it work two signal receivers are placed at fixed locations. The first one at origin point A…

A:

Q: A ball is thrown at an angle of 60° to the ground. If the ball lands 90 meters away. What was the…

A: The ball is thrown at an angle of  to the ground. So, the initial velocity of ball has both…

Q: 3 Express the vector in terms of I and a sled along level ground by a force of 30 pounds A child…

A: Topic:- vector algebra

Q: 4- The screw eye is subjected to the two forces shown. Express each force in Cartesian vector form…

A: Magnitude of the resultant force is calculated as below-

Q: A bullet is fired into the air with an initial velocity of 897 feet per second at an angle of 53°…

A:

Q: A small plane is flying horizontally due east in calm air at 175 mi/hr when it is hit by a…

A: Plane is flying horizontally du east calm air at 175 mi/ hr. Hence, Vplane=175i Now, horizontal…

Q: A position vector of body x =ti +t²j- 2t k , if the distance in meter and time in sec, 1) find the…

A:

Q: Suppose that you are climbing a hill whose shape is given by 300). In which direction (unit vector)…

A: Given function is z=764-0.04x2-0.04y2 and  Point x,y,z=100,40,300

Q: 2) a) Find the unit vectors that are parallel to the tangent line to the curve y = 2sinx at the…

A:

Q: 2 A plane is flying on a course of 060° in still air at a speed of 300 km hr-', when it passes a…

A: Given that: Speed of plane = 300 km hr-1 Direction = Course of 60o