A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is blowing 55 km/h in the direction of South 40 degrees East . Draw a position diagram to illustrate the word problem. Draw a vector diagram using the vectors in the problem to illustrate a vector representing the ground speed relative to earth.

Q: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

Q: Determine the resultant of two vectors with magnitudes of 50 and 30 and an angle of 110 degrees…

A: let  A=50 & B=30, θ=1100 We know resultant between two vectors A→ & B→ when angle between…

Q: A child throws a ball with a speed of 8 feet per second at an angle of 27 degrees with the…

A: Given a ball thrown at an angle of 27° with horizontal at a speed of 8 feet per second.  To find the…

Q: Explain how you would convert the vector a = 5 km with a bearing of 135° in Cartesian form.

A: Given a→=5 km and bearing of vector θ=135°

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

A:

Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: 9. Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Formula: The unit vector in the same direction of a vector v→ is given by, v^=v→v Given: p, q, r To…

Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

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: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

A:

Q: 4. Sketch the vector with magnitude 10 and direction 115° in standard position and calculate its…

A: We have to draw the vector with magnitude and find its components.

Q: Find the angle between vectors and

A: Given vectors are same i.e. they are parallel.

Q: Write a vector equation for the line segment from P to Q. 4

A:

Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

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: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

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: A pedestrian walks 7.4 kilometers west and then 9.2 kilometers south. What is the angle of the…

A:

Q: Create a simple track and field diagram and draw out the vector arrows where the following can be…

A: We need to assume a simple track and field diagram and mark the changes in the acceleration and…

Q: A boat is motoring directly north at 5 miles per hour. At the same time, an 8 m.p.h. wind is blowing…

A: Since you have asked multiple questions,we will solve the first question for you. If you want any…

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: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

A:

Q: find the cosine of the angle between the vectors. (1, 1, 1), (2, −1, 2)

A: Given: (1, 1, 1), (2, −1, 2)

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: Find the magnitude of the horizontal and vertical components of the vector with magnitude 2 pounds…

A: Vector components as per trigonometry.

Q: (a) How do you tell if two vectors are parallel?

A:

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

A: We have to find the component  form of the vector with given magnitude  and direction.

Q: A vector is described as "A plane with an airspeed of 450 miles per hour is flying in the direction…

A:

Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.A vector is…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: If the magnitude and direction of vector ? are 2√5and 153.3°, what are the components of vector ??

A: Simplification of vector

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: own your onw word, meaning for two vectors to be parallel?

A: Vectors are parallel if they have the same direction Both components of one vector must be in the…

Q: If the the femur bz is represented by the vector , find a vector b, that is perpendicular to the…

A: We have  Initial point =(-2,5) Terminal Point =(3,8) Now, Terminal Point-Initial…

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Find the magnitude of the horizontal and vertical components of the vector with magnitude 2 pounds…

A:

Q: Find the angle between the vectors ā = and b = . [Nearest degrees]

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:

Q: A plane is flying with an airspeed of 140 miles per hour and heading of 155∘degrees. The wind…

A: Let P be the speed of the plane. Let W be the direction of the wind. Let T be the ground speed and…

Q: Find the unit vector in the same direction as

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

A:

Q: A vector has magnitude 5 and has direction of 139 degrees. Rounded to the nearest hundredth, find…

A:

Q: Each unit on a trail map is equal to 1 foot. A hiker is at map coordinates (450, 700), and the park…

A: Let's find.

Q: Find a vector of magnitude 4 that has the same direction as a = (-3, 7)

A: Given : The vector say (v→) has magnitude 4 and It has the same direction as a→=-3, 7 We have to…

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether…

A: Reason: (i)  When a velocity of a wind travels from the west and from the east of…

Q: If vector C is added to vector B , the result is -9i -8j . If vector B is subtracted from vector C,…

A: If vector C is added to vector B , the result is -9i-8j C+B=-9i-8j If vector B is subtracted from…

Q: A quarterback releases a football with a speed of 44 feet per second at an angle of 30° with the…

A: θ=30°,  speed=v=44

Q: If a vector V is in standard position and the tip of the vector corresponds to the point(a, b), then…

A: Given, If a vector V is in standard position and the tip of the vector corresponds to the point(a,…