Problem 5: An airplane has heading 230 degrees and flies at 373 miles per hour. Express the vector representing the airplane in component form (it is expressed as "ai + bj" in our eText and course materials). Sketch the vector representing the airplane.
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- If the wind is blowing from the east at 47 km/h and an airplane is on a heading of 155° with an airspeed of 840 km/h find the ground velocity of the airplane and the direction of flight. Draw the vector diagram (tail-to-tail) on the two-dimensional grid to illustrate this situation. please, step by stepZha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads to a park 3 kilometers west of town. He takes 20 minutes to cover this distance. •Write a vector in component form describing Zha's bike ride. oFind the magnitude and direction of this vector. • Find the component of Zha's motion which is in the direction "southwest". (Use a unit vector to represent this direction.) Use both forms of the dot product (algebraic and geometric) to compute this, and compare to be sure you get the same answe both ways. ways. same answer both •Write parametric equations expressing Zha's motion, with town being represented by the origin, and t 0 representing his start point. oFind the coordinates of Zha's location after 5 minutes using these parametric equations. o Eliminate the parameter to get a Cartesian equation for this linear path. Verify algebraical that this equation represents this line. - Verify graphically using Desmos or other technology that the…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.
- I used a vector to represent a wind velocity of 13 miles per hour from the west. Determine whether each statement makes sense or does not make sense, and explain your reasoningZha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads to a park 3 kilometers west of town. He takes 20 minutes to cover this distance. • Write a vector in component form describing Zha's bike ride. • Find the magnitude and direction of this vector. • Find the component of Zha's motion which is in the direction "southwest". (Use a unit vector to represent this direction.) Use both forms of the dot product (algebraic and geometric) to compute this, and compare to be sure you get the same answer both ways.I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
- Find the unit vector in the direction of (3.-2). Write your answer in component form. Do not approximate any numbers in your answer.What is the component form of a vector with a magnitude of 17 and a direction of 125? Please show how you got this answer?How do you match each vector with the diagram?
- A child throws a ball with a speed of 8 feet per second at an angle of 27 degrees with the horizontal. Express the vector described in terms of i and j. Round each component to 3 decimals.Create a vector equation for the line that goes through the following points: (-8,7,8) and (-10,13,4)What would the values of the vector be based on the graph figure?