Answer for 21= i + 4j, 0.24 radians east of north Suppose that the ship in Exercise 21 is pointingdue north and travelling at a speed of 4 knotsrelative to the water. There is a current flowingdue east at 1 knot. (The units on the chart arenautical miles; 1 knot =1 nautical mile perhour.)(a) If there were no current, what vector uwould represent the velocity of the ship rela-tiye to the sea bottom?

Speed of the ship relative to the water = 4 knots (North) relative to the water. The current…

Answered: due north celative to due east at…

Math

Calculus

due north celative to due east at nautical m hour.) (a) If the

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

Problem 2AEXP

See similar textbooks

Related questions

Q: Match the given information with the appropriate inverse trigonometric ratio to determine mZB. 1.…

A: Topic - trigonometry ratio

Q: Find the area of the sector of a circle of radius 6 units subtended by an angle of 17π/12 radians.…

A: Solution ) angle = 17π/12 Change radian to degree 1 radian = 180/π 17π/12 = 17π/12 × 180/π…

Q: A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles…

A: Let us suppose the distance of the boat towards south is y. Let the angle of the boat from the…

Q: 1. Suppose yo degree angle How high is th

A: According to questions

Q: (1+cot 8) de 5. sin eJ4 - cote

A: ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫…

Q: Find the exact value by using a half-angle identity. 4) sin 22.5°

Q: The terminal arm of an angle, 0, in standard position passes through A(7, 2). Which of the primary…

Q: Suppose ABC is a right triangle, and the tangent of A is 30/6. What is the value of cos A?

Q: Consider circle A with radius 1 unit. A 1 unit If 0 = 60°, what is the length, in radians, of arc…

A: Given:- radius of the circle,= 1 unit Angle= 60° Find lenght of arc.

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

Q: If the angle e is in standard position and P(x, y) is a point on the terminal side of 0, and ris the…

Q: Use the trigonometric ratio sin A 0.38 to determine which angle of the triangle is ZA. (GSRT.7) 1.2…

A: The hypotenuse of the given right angled triangle is: 1.3

Q: cos(?), sin(?); ? in Quadrant III

A: in the 3rd quadrant sin and cos will be negative

Q: If cos t = and t is in the 3rd quadrant, then sin t =

Q: Solve for the exact value. cot 4

Q: In right triangle ABC, m/B + mZC . Let sin B = r and cos B = s. B A Which expression represents the…

Q: cos?30 de 12. 1 -cot 30

Q: In triangle ABC, A = 40 degree , b = 19 ft, and a =18 ft. Use the law of sines to find sin Band then…

A: Given in ∆ABC, ∠A = 40° , a = 18ft b = 19ft, ∠B = ?

Q: 4. Complete the reciprocal and quotient identities. csc e sec e cot 0 or

Q: equation o4 whose curuature +ind an is K = % .

Q: 17) ABCD~AWYX. Which 3 trigonometric ratios are congruent to sinY? B W

Q: A line makes the same angle e with each of the X- and Z- axis. If the angle B, which it makes with…

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: For tan 0 = 49.451, find 0, an angle in a right triangle. If there is no angle corresponding to 0,…

A: Given: tan θ=49.451 To determine: Value of θ.

Q: find the area of a circle of radius 13 units subtended by an angle of 5π / 12 radians. Round your…

A: Let the area of a sector subtend angle θ(in radians) is given as S=π*r2*θ2π ...................(1)…

Q: Use trigonometric ratios to solve for the variables. 12 cm y

A: The given figure is: Solve for the variables.

Q: Find the exact value of Cot (). 5л 12 Show all your work!

A: Given, cot5π12

Q: cot 180° cos 270⁰ sec 60°

Q: Consider the right triangle below. What is the ratio of cos(H)?

A: I think it is cos(B) In the given right angle triangle ABC cos(B)=adjacent side/hypotenuse

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

Q: 1 S. xV x¯ – 4

A: => i have provided this answer with full description in step-2.

Q: Find the exact value. cot 30°

Q: If y = cos*[sec?(30)], and (0 = =) y will be equal to? %3D

Q: that S cot udu=In ace n Sin ul tC.

A: Explanation is given below..

Q: In right triangle ABC, mzC = 90° and AC + BC. Which trigonometric ratio is equivalent to sin B? %3!

A: We know that, for any angle x, sin(90-x)=cosx. Also the sum of the angles of a triangle is 180°.

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

Q: Match the given information with the appropriate inverse trigonometric ratio to determine mZA. 1.…

A: on solving the problems we get

Q: If triangle ABC is right angled at C , then thevalue of cos (A+B) is

Q: A ramp leading to the freeway overpass is 180 feet long and rises 23 fet. What is the measure of the…

Q: If sin e = , and 0 is in QI, find sec 0. %3D

Q: Find the angle A between the ines

Q: 5t cot 4

A: Please refer the attached image for complete solution. THANK YOU.

Q: What angle (in radians) corresponds to 0.25 rotations around the unit circle? radians (Give an exact…

Q: If e is an angle in standard position and its terminal side passes through the point (21,-20), find…

Q: A boat starts off 28 miles directly west from the city of Morristown. It travels due south at a…

Q: π If y = cos*[sec? (30)], and (0 y will be equal to? = ;) 9.

A: The given function is y=cos4sec23θ and θ=π9. Evaluate y' as follows.…

Q: If sec ? =16/5, what is sin ?? Draw a triangle and give an exact answer. No decimal approximations.

Q: In right triangle ABC, m/B mZC. Let sin B = r and cos B = s. C Which expression represents the value…

Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where…

A: Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an…

Q: Express the length x in terms of the trigonometric ratios of 0. X = 20

Concept explainers

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.

Question

Answer for 21= i + 4j, 0.24 radians east of north

Suppose that the ship in Exercise 21 is pointing
due north and travelling at a speed of 4 knots
relative to the water. There is a current flowing
due east at 1 knot. (The units on the chart are
nautical miles; 1 knot =1 nautical mile per
hour.)
(a) If there were no current, what vector u
would represent the velocity of the ship rela-
tiye to the sea bottom?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Magnitude$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of radius 5. The object have the same angular speed. Do the objects have the same linear speed? If not, which object has the greater linear speed?
The second hand of a clock is 8 centimeters long. Find the linear speed of the tip of the second hand as it passes around the clock face.
A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).
For the vector v=(3,2), sketch a 4v, b 12v, and c 0v.