A ship leaves port at noon at a bearing of 293°. The ship's average rate of speed over this time is 18 miles per hour. Describe the location of the ship at 3:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario. Drag a value into each box to correctly complete the statements. The component form of the vector representing the ship at 3:30 p.m. is approximately ( This means that the ship is about miles to the and about miles to the: of where the ship left port. -58 -24.6 -16.6 -7 7 16.6 24.6 58 north south east west

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

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: 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: Vector a is expressed in magnitude and direction form as a =(√33, 130°).

A:

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: Determine the length of the crankshaft AB by first formulating a Cartesian position vector from A to…

A: Let us first write the Cartesian position vector from A to B like…

Q: Convert the vector Ả = = pzsino a,+ 3pcos¢ a p + pcosø sinø az to RCS. Simplify your answer and show…

A: A vector in cylindrical coordinates can be written as A→=Aρaρ⏞+Aφaϕ⏞+Azaz⏞ A vector in cartesian…

Q: What is the magnitude of a vector = (-181- 12j)m/s?

A: Given,            v = (-18i + 12j) m/s

Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: Find the angle θ between the vectors a=5i−j−4k and b=2i+j−4k. Answer (in radians)

A:

Q: Given the vector ü = (1, – 5), find the magnitude and angle in which the vector points (measured…

A:

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. C measure of the…

A:

Q: Find the vector having length v=12 and direction theta 60 degrees

A:

Q: A unit vector in the direction of the given vector is

A:

Q: A person in a car travels 9 miles south and then 11 miles west. The person realized she was lost and…

A:

Q: Find the unit vector in the same direction as v = 4i - 3j. Then verify that the vector has magnitude…

A: Consider the following vector: v→=4i^-3j^ Consider the following formula: unit…

Q: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

Q: 4) -16i + 30j

A:

Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: 4. A rocket is fired at an angle of 25° to the ground and with an initial velocity of 120 m/s.…

A:

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 magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: θ

A:

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

A:

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

A: Vector components as per trigonometry.

Q: Find the magnitude and direction angle of the vector w = -4i - 3j to correctly write w in…

A: we have vector  w→=-4i-3j we have to find  i) magnitude ii) direction  iii) vector w→ in…

Q: the magnitude and direction of this vector.

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: (3,6) The magnitude is

A: It is magnitude of vector.

Q: Calculate the angle between the vectors and . Write your final answer in radians, either as an…

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: Solve the resultant of the following vectors: 20.0 m at 30.0°, 40.0 m at 120.0°, 25.0 m due West,…

A:

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: 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 approaches a runway at 150 miles per hour at an angle of 8° with the runway.A vector is…

A:

Q: If vector V has a magnitude of 34 and an angle of 280° with the positive X axis, write V |an in…

A: The vector V has a magnitude of 34 and an angle of 280° with the positive x axis.

Q: A bullet is fired into the air with an initial velocity of 1,900 feet per second at an angle of 80°…

A: Consider the diagram below for the velocity vector.

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

A:

Q: find the component form of the vector. The vector obtained by rotating <0, 1> through an angle…

A: Find the component form of the vector. The vector obtained by rotating <0, 1> through an angle…

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

A:

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

A:

Q: ) The magnitude of the vector a = 2i – 3j is

A:

Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

A:

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: Find the magnitude and direction angle of the vector v = -9i + 10j to correctly write v in…

A: Given Data: Vector: v = -9i + 10j The magnitude of the vector v is, r=a2+b2 Substitute the values in…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.