The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N 45° W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N 60° E at an airspeed (speed in still air) of 200 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane. (Round your answers to one decimal place.) true course N 45.5 X °E ground speed 193.2 X km/h

Q: What is the magnitude and direction of the vector v = ? (answers to the nearest tenth) %3D

A:

Q: The formula for vector projection is incorrect, rendering this solution useless. In the formula, it…

A: Let us consider two vector A and B then the angle between two vectors is obtained as cosθ=A·BAB The…

Q: Given the vector ü = (1, – 3), find the magnitude and angle in which the vector points (measured…

A: u = 1i - 3j

Q: If vector a= and vector b=, find the angle between vectors a and b, rounded to the nearest degree.

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i + j, v = i + 2j - k

A: Now,

Q: The vector with length 4 and direction k is Di+Di+ j+ k.

A:

Q: A new high-speed helicopter is travelling at an air speed (that is, a speed relative to the…

A:

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = b = ||

A: Given,           The angle between the vectors a=<3,1> , b=<0,4>We know that,…

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

A:

Q: A small plane is flying north in calm air at 250 mph when it encounters a horizontal crosswind…

A: Given data The plane is flying north in calm air at 250 mph. Speed of the horizontal crosswind…

Q: Given the vector ū = (– 5, – 4), find the magnitude and angle in which the vector points (measured…

A: Given point lies in third quadrant since both X and Y coordinate of the point is negative .

Q: Suppose that |u| = 10 and |v| = 7, and that u • v = -55. Find the angle θ between the vectors u and…

A:

Q: Find the direction .angles of the given vector, rounded to the nearest degree. 6i + 5j + 2k a = B…

A:

Q: Find the unit vector that has the same direction as the vector v. 31

A:

Q: Draw a vector representing the following velocity. 10 cm/sec N 60° W

A: Let us draw a vector representing the velocity v=10cm/sec N 60°W

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: find the magnitude and direction of the resultant vector r using the image below. Round your answers…

A: Using Triangle low

Q: find an equation for the line through P perpendicular to v. Then draw a sketch of the​ line,…

A:

Q: Given the following vectors acting on an object, at what angle and magnitude must a force by applied…

A: Solve by geometry method, the forces are F1 =1200 pound and F2=3100 pound. The angle between them is…

Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

A:

Q: The vector from the origin to point A is given as 6a, – 2a, – 4a., and the unit vector directed from…

A: The vector from the origin to point A is 6ax-2ay-4az Therefore, vector A is A→=6,-2,-4 Now, the unit…

Q: θ

A:

Q: Find the magnitude of each of the two vectors a and b having the same magnitude such that the angle…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction

A:

Q: the magnitude and direction of this vector.

A:

Q: he magnitudes and directions of two forces acting at a point P are given as 20 pounds with 250° and…

A: Given:    20 pounds with 250°      50 pounds with 170°

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree.

A:

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: Find the horizontal and vertical components for a vector having a magnitude of 15 and a direction of…

A: Ans = (13.0,7.5) I have done solution in detail....go through the sulution

Q: |미350, | w|= 12, 0=35° A) B) W W

A:

Q: Let a = (- 2, 4) and b = (1, 3). Find the angle between the vector, in degrees. Round your answer to…

A:

Q: Using a scale of 1 cm to represent 10 km/h, draw a velocity vector to represent each of the…

A:

Q: Find the horizontal and vertical components for a vector having a magnitude of 9 and a direction of…

A:

Q: please help me find the magnitude of the following vector. U = 8i + 15j

A:

Q: What is the magnitude and direction of vector w? (answers to the nearest tenth) W |w| = %3D

A:

Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: Since

Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors

Q: Find the ordered pair that describes the vector whose magnitude is 10 and whose angle of rotation is…

A:

Q: A plane is flying with an airspeed of 200 mph in the direction of N 50°E and a 40 mi/hr wind is…

A: Let u be the vector representing the speed of the plane and v be the vector representing the speed…

Q: Find a vector v whose magnitude is 6 and whose component in tho i direction is twico the component…

A:

Q: w, and z head to tail as needed to sketch the indicated vector. 3 w

A: NOTE: Refresh your page if you can't see any equations. . here the height of the triangle is x=4…

Q: A plane is flying at a speed of 320 miles per hour on a bearing of N 65​°E. Its ground speed is 380…

A: We have given The speed of the plane is 320 miles per hour on a bearing of N 65​°E and its ground…

Q: Given the x and y components, describe the resultant vector. Round magnitude to the nearest tenth…

A: We’ll answer the first question (Q.no. 7) since the exact one wasn’t specified. Please submit a new…

Q: The magnitudes and directions of two forces acting at a point P are given as 30 pounds with N10°E…

A: Given that two forces acting on a point P, P1= 30 pounds with N10°E P2=80 pounds with N80°E Now,…

Q: Find the component form of the vector v  if ||v||= 5 and when drawn in the standard position v lies…

A:

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.